Recognised as Number

1,049

Positive
Odd
Prime
4 digits

1,049 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 5.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityPrime

Absolute value1,049

Digit count4

Digit sum14

Digit product0zero, because one of the digits is zero

Multiplicative persistence1times the digit product can be taken before one digit is left

Digital root5repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation1,049

Distinct prime factors11,049

Number of divisors2

Sum of divisors σ(n)1,050

Aliquot sum1sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)1,048integers below n that share no factor with it

Carmichael function λ(n)1,048the 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, 1,0492 in total

Arithmetic

Previous number1,048

Next number1,050

Double2,098

Half524.5

Square1,100,401

Cube1,154,320,649

Square root32.388269481≈irrational, shown to 9 decimal places

Cube root10.160735888≈

Negation-1,049

Reciprocal0.0009532888≈

Representations

Decimal1,049

Binary1000001100111 bits

Octal2031

Hexadecimal419

Base 36T5

Roman numeralMXLIX

In wordsone thousand and forty-nine

Ordinalone thousand and forty-ninth

Scientific notation1.049 × 10^3

Engineering notation1.049 × 10^3

In other bases

Ternary1102212base 3; the most digit-efficient integer base after e: 7 digits

Quinary13144base 5; one hand: 5 digits

Septenary3026base 7: 4 digits

Nonary1385base 9; each digit is two ternary digits: 4 digits

Duodecimal735base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits

Vigesimal2c9base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits

Sexagesimal17:29base 60; Babylonian, and still how an hour and a circle are divided: 2 digits

Balanced ternary11100TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary10001101001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010000011001

Bit length11 bitsto write the magnitude

Set bits4the population count, or Hamming weight

Zero bits7within that length

Bit parityeven4 set bits, so even; not the same as the number itself being odd

Highest set bitbit 10worth 1,024

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes204 19

Gray code11000010101n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010000011001

32-bit00000000000000000000010000011001

64-bit0000000000000000000000000000000000000000000000000000010000011001

One's complement1111101111100110at 16 bits, every bit flipped

Bits reversed1001100000100000at 16 bits

Rotated left by 10000100000110010at 16 bits, wrapping

Shifted left by 1100000110010= 2,098, no wrap

Shifted right by 11000001100= 524, discarding the low bit

These bits as a double5.18274862 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,051+2

Previous prime1,039−10

Distance to nearest prime0, it is prime

Nearest square below1,024

Nearest square above1,089

Powers & multiples

1,049 to the power 21,100,401

1,049 to the power 31,154,320,649

1,049 to the power 41,210,882,360,801

1,049 to the power 51,270,215,596,480,249

First ten multiples1,049, 2,098, 3,147, 4,196, 5,245, 6,294, 7,343, 8,392, 9,441, 10,490

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 4

Divisible by 6No, remainder 5

Divisible by 7No, remainder 6

Divisible by 8No, remainder 1

Divisible by 9No, remainder 5

Divisible by 10No, remainder 9

Divisible by 11No, remainder 4

Divisible by 12No, remainder 5

Divisible by 100No, remainder 49

Collatz (3n + 1) trajectory

Steps to reach 162the total stopping time

Highest value reached3,5443× the starting value

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

First steps1,049 → 3,148 → 1,574 → 787 → 2,362 → 1,181 → 3,544 → 1,772 → 886 → 443 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage104,900%

1,049% as a decimal10.49

1,049% of 1001,049

1,049% of 1,00010,490

As a fraction of 1001,049/100

Read another way

As seconds17 minutes and 29 seconds

As bytes1.024 KiB

As a year1049 AD

As a 24-bit colour#000419

Keep nerding

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

Neighbouring numbers

Derived from 1,049

Nearby primes

1049 (year)

Common year
365 days
11th century
Ox

1049 was a common year of 365 days. It began on a Monday and ended on a Monday. Easter Sunday fell on 1 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 aMonday

31 December fell on aMonday

Century11th century

Decade1040s

Chinese zodiacOx

Easter Sunday1 April

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Monday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on

Sundays52

Mondays53one of the extras

Tuesdays52

Wednesdays52

Thursdays52

Fridays52

Saturdays52

Friday the 13th2 of them13 April, 13 July

ISO weeks52an ordinary 52-week year

Same calendar as1038the most recent year whose calendar is identical, so a printed one could be reused

Calendar repeats in1055, 1066, 10776 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1049

January31 days, starts Monday

February28 days, starts Thursday

March31 days, starts Thursday

April30 days, starts Sunday

May31 days, starts Tuesday

June30 days, starts Friday

July31 days, starts Sunday

August31 days, starts Wednesday

September30 days, starts Saturday

October31 days, starts Monday

November30 days, starts Thursday

December31 days, starts Saturday

Time references

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

Unix timestamp at the start-29,063,923,200

Unix timestamp at the end-29,032,387,201

Years from now977 years ago

Days from today357,097 days since 1 January

The number 1049

As a number1,049

In wordsone thousand and forty-nine

Roman numeralsMXLIX

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

#110044 (colour)

#110044
Violet
Dark
Nearest: Midnight blue

#110044 is a violet with RGB values 17, 0, 68 and HSL 255°, 100%, 13%. It is a dark colour, so white text on it reaches 19:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.

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Colour values

#110044#110044

HEX#110044

HEX (short)#104

RGBrgb(17, 0, 68)

RGB (0–1)0.0667, 0, 0.2667

RGB percentages6.7%, 0%, 26.7%

HSLhsl(255, 100%, 13.3%)

HSV / HSBhsv(255, 100%, 26.7%)

CMYK75%, 100%, 0%, 73.3%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,114,180

CSS custom property--colour: #110044;

Brightness & contrast

Relative luminance0.00537WCAG 2.x, 0 is black and 1 is white

Perceived brightness24.8 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 18.96:1

Contrast with white18.96:1WCAG normal text: AAA

Contrast with black1.11:1WCAG normal text: Fail

Greyscale equivalent#090909

Inverted#EEFFBB

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#001346no red cones; affects about 1% of men; ΔE 13.6 from the original

Deuteranopia#000E43no green cones; the most common form, about 1% of men; ΔE 11.1 from the original

Tritanopia#001624no blue cones; rare, and affects men and women equally; ΔE 40.7 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text18.96:1WCAG large text: AAA

Contrast with black, large text1.11:1WCAG large text: Fail

Named colours

Midnight blue · ΔE 16.2 Dark slateblue · ΔE 26.5 Indigo · ΔE 31.6 Rebecca purple · ΔE 32.6 Navy · ΔE 33.5 Dark blue · ΔE 38.7

Nearest named CSS colourMidnight blue (#191970)ΔE 16.21, a distinctly different colour

Hue familyviolet

CSS keyword usableNo exact keyword

Colour harmonies

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

Complementary#334400

Analogous#001144, #330044

Triadic#441100, #004411

Split complementary#443300, #114400

Tetradic#440011, #334400, #004433

Tints, shades & saturation

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

Lighter +40%#4D11FF

Lighter +30%#3700DD

Lighter +20%#2B00AA

Lighter +10%#1E0077

Darker −10%#040011

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#110044

Less saturated −25%#15083C

Channel breakdown

R17

B68

Red17 (6.7%)

Green0 (0%)

Blue68 (26.7%)

Hue255°

Saturation (HSL)100%

Lightness13.33%

Dominant channelBlue

Hex per channelR 11 · G 00 · B 44

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 1,049

Nearby primes

Other readings

1049 (year)

Structure of the year

Patterns forced by the calendar

Months of 1049

Time references

The number 1049

Keep nerding

Neighbouring years

Key dates

#110044 (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