Recognised as Number

1,361

Positive
Odd
Prime
4 digits

1,361 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 2.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityPrime

Absolute value1,361

Digit count4

Digit sum11

Digit product18

Multiplicative persistence2times the digit product can be taken before one digit is left

Digital root2repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation1,361

Distinct prime factors11,361

Number of divisors2

Sum of divisors σ(n)1,362

Aliquot sum1sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)1,360integers below n that share no factor with it

Carmichael function λ(n)1,360the smallest exponent with aˣ ≡ 1 for every unit coprime to n

Möbius function μ(n)−11 distinct prime factor, an odd number of them

SquarefreeYesno repeated prime factor

All divisors1, 1,3612 in total

Arithmetic

Previous number1,360

Next number1,362

Double2,722

Half680.5

Square1,852,321

Cube2,521,008,881

Square root36.891733491≈irrational, shown to 9 decimal places

Cube root11.082031367≈

Negation-1,361

Reciprocal0.0007347539≈

Representations

Decimal1,361

Binary1010101000111 bits

Octal2521

Hexadecimal551

Base 3611T

Roman numeralMCCCLXI

In wordsone thousand, three hundred and sixty-one

Ordinalone thousand, three hundred and sixty-first

Scientific notation1.361 × 10^3

Engineering notation1.361 × 10^3

In other bases

Ternary1212102base 3; the most digit-efficient integer base after e: 7 digits

Quinary20421base 5; one hand: 5 digits

Septenary3653base 7: 4 digits

Nonary1772base 9; each digit is two ternary digits: 4 digits

Duodecimal955base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits

Vigesimal381base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits

Sexagesimal22:41base 60; Babylonian, and still how an hour and a circle are divided: 2 digits

Balanced ternary1T0TT11Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary10101010001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010101010001

Bit length11 bitsto write the magnitude

Set bits5the population count, or Hamming weight

Zero bits6within that length

Bit parityodd5 set bits, so odd; not the same as the number itself being odd

Highest set bitbit 10worth 1,024

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes205 51

Gray code11111111001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010101010001

32-bit00000000000000000000010101010001

64-bit0000000000000000000000000000000000000000000000000000010101010001

One's complement1111101010101110at 16 bits, every bit flipped

Bits reversed1000101010100000at 16 bits

Rotated left by 10000101010100010at 16 bits, wrapping

Shifted left by 1101010100010= 2,722, no wrap

Shifted right by 11010101000= 680, discarding the low bit

These bits as a double6.72423344 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,367+6

Previous prime1,327−34

Distance to nearest prime0, it is prime

Nearest square below1,296

Nearest square above1,369

Powers & multiples

1,361 to the power 21,852,321

1,361 to the power 32,521,008,881

1,361 to the power 43,431,093,087,041

1,361 to the power 54,669,717,691,462,801

First ten multiples1,361, 2,722, 4,083, 5,444, 6,805, 8,166, 9,527, 10,888, 12,249, 13,610

Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 2

Divisible by 4No, remainder 1

Divisible by 5No, remainder 1

Divisible by 6No, remainder 5

Divisible by 7No, remainder 3

Divisible by 8No, remainder 1

Divisible by 9No, remainder 2

Divisible by 10No, remainder 1

Divisible by 11No, remainder 8

Divisible by 12No, remainder 5

Divisible by 100No, remainder 61

Collatz (3n + 1) trajectory

Steps to reach 152the total stopping time

Highest value reached13,1209× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps1,361 → 4,084 → 2,042 → 1,021 → 3,064 → 1,532 → 766 → 383 → 1,150 → 575 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage136,100%

1,361% as a decimal13.61

1,361% of 1001,361

1,361% of 1,00013,610

As a fraction of 1001,361/100

Read another way

As seconds22 minutes and 41 seconds

As bytes1.329 KiB

As a year1361 AD

As a 24-bit colour#000551

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Neighbouring numbers

Derived from 1,361

Nearby primes

1361 (year)

Common year
365 days
14th century
Ox
53 ISO weeks

1361 was a common year of 365 days. It began on a Thursday and ended on a Thursday. Easter Sunday fell on 5 April.

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Structure of the year

Leap yearNonot divisible by 4

Days in the year365

Days in February28

1 January fell on aThursday

31 December fell on aThursday

Century14th century

Decade1360s

Chinese zodiacOx

Easter Sunday5 April

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Thursday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on

Sundays52

Mondays52

Tuesdays52

Wednesdays52

Thursdays53one of the extras

Fridays52

Saturdays52

Friday the 13th3 of them13 February, 13 March, 13 November

ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists

Same calendar as1350the most recent year whose calendar is identical, so a printed one could be reused

Calendar repeats in1367, 1378, 13896 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1361

January31 days, starts Thursday

February28 days, starts Sunday

March31 days, starts Sunday

April30 days, starts Wednesday

May31 days, starts Friday

June30 days, starts Monday

July31 days, starts Wednesday

August31 days, starts Saturday

September30 days, starts Tuesday

October31 days, starts Thursday

November30 days, starts Sunday

December31 days, starts Tuesday

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start-19,218,124,800

Unix timestamp at the end-19,186,588,801

Years from now665 years ago

Days from today243,144 days since 1 January

The number 1361

As a number1,361

In wordsone thousand, three hundred and sixty-one

Roman numeralsMCCCLXI

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Neighbouring years

Key dates

Also reads as

#113366 (colour)

#113366
Blue
Dark
Nearest: Dark slateblue

#113366 is a blue with RGB values 17, 51, 102 and HSL 216°, 71%, 23%. It is a dark colour, so white text on it reaches 12.4:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.

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Colour values

#113366#113366

HEX#113366

HEX (short)#136

RGBrgb(17, 51, 102)

RGB (0–1)0.0667, 0.2, 0.4

RGB percentages6.7%, 20%, 40%

HSLhsl(216, 71.4%, 23.3%)

HSV / HSBhsv(216, 83.3%, 40%)

CMYK83.3%, 50%, 0%, 60%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,127,270

CSS custom property--colour: #113366;

Brightness & contrast

Relative luminance0.03446WCAG 2.x, 0 is black and 1 is white

Perceived brightness52.9 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 12.43:1

Contrast with white12.43:1WCAG normal text: AAA

Contrast with black1.69:1WCAG normal text: Fail

Greyscale equivalent#2F2F2F

Inverted#EECC99

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#173868no red cones; affects about 1% of men; ΔE 3.3 from the original

Deuteranopia#013165no green cones; the most common form, about 1% of men; ΔE 1.8 from the original

Tritanopia#003F47no blue cones; rare, and affects men and women equally; ΔE 33 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text12.43:1WCAG large text: AAA

Contrast with black, large text1.69:1WCAG large text: Fail

Named colours

Dark slateblue · ΔE 21.6 Midnight blue · ΔE 28.9 Steel blue · ΔE 33.2 Dark slate grey · ΔE 37.2 Rebecca purple · ΔE 38.7 Slate grey · ΔE 40

Nearest named CSS colourDark slateblue (#483D8B)ΔE 21.59, a distinctly different colour

Hue familyblue

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#664411

Analogous#115D66, #191166

Triadic#661133, #336611

Split complementary#661A11, #5D6611

Tetradic#66115E, #664411, #11661A

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#5F94E4

Lighter +30%#3377DD

Lighter +20%#205FBD

Lighter +10%#184992

Darker −10%#0A1D3A

Darker −20%#02070F

Darker −30%#000000

Darker −40%#000000

More saturated +25%#023075

Less saturated −25%#203657

Channel breakdown

R17

G51

B102

Red17 (6.7%)

Green51 (20%)

Blue102 (40%)

Hue216°

Saturation (HSL)71.43%

Lightness23.33%

Dominant channelBlue

Hex per channelR 11 · G 33 · B 66

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Number properties

Factors & divisors

Arithmetic

Representations

In other bases

Bit-level

At each machine width

Nearest landmarks

Powers & multiples

Divisibility tests

Collatz (3n + 1) trajectory

As a percentage & fraction

Read another way

Keep nerding

Neighbouring numbers

Derived from 1,361

Nearby primes

Other readings

1361 (year)

Structure of the year

Patterns forced by the calendar

Months of 1361

Time references

The number 1361

Keep nerding

Neighbouring years

Key dates

#113366 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

Nerdulate something else