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Recognised as Number

1,387

Positive
Odd
Composite
4 digits

1,387 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 1.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,387

Digit count4

Digit sum19

Digit product168

Multiplicative persistence4times the digit product can be taken before one digit is left

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation19 × 73

Distinct prime factors219, 73

Number of divisors4

Sum of divisors σ(n)1,480

Aliquot sum93sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)1,296integers below n that share no factor with it

Carmichael function λ(n)72the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,296

Möbius function μ(n)+12 distinct prime factors, an even number of them

SquarefreeYesno repeated prime factor

All divisors1, 19, 73, 1,3874 in total

Arithmetic

Previous number1,386

Next number1,388

Double2,774

Square1,923,769

Cube2,668,267,603

Square root37.242448899≈irrational, shown to 9 decimal places

Cube root11.152155602≈

Negation-1,387

Reciprocal0.0007209805≈

Representations

Decimal1,387

Binary1010110101111 bits

Octal2553

Hexadecimal56B

Base 3612J

Roman numeralMCCCLXXXVII

In wordsone thousand, three hundred and eighty-seven

Ordinalone thousand, three hundred and eighty-seventh

Scientific notation1.387 × 10^3

Engineering notation1.387 × 10^3

In other bases

Ternary1220101base 3; the most digit-efficient integer base after e: 7 digits

Quinary21022base 5; one hand: 5 digits

Septenary4021base 7: 4 digits

Nonary1811base 9; each digit is two ternary digits: 4 digits

Duodecimal977base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits

Vigesimal397base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits

Sexagesimal23:7base 60; Babylonian, and still how an hour and a circle are divided: 2 digits

Balanced ternary1T0T0101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary1101010111111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010101101011

Bit length11 bitsto write the magnitude

Set bits7the population count, or Hamming weight

Zero bits4within that length

Bit parityodd7 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 6b

Gray code11111011110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010101101011

32-bit00000000000000000000010101101011

64-bit0000000000000000000000000000000000000000000000000000010101101011

One's complement1111101010010100at 16 bits, every bit flipped

Bits reversed1101011010100000at 16 bits

Rotated left by 10000101011010110at 16 bits, wrapping

Shifted left by 1101011010110= 2,774, no wrap

Shifted right by 11010110101= 693, discarding the low bit

These bits as a double6.85269051 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,399+12

Previous prime1,381−6

Distance to nearest prime6

Nearest square below1,369

Nearest square above1,444

Powers & multiples

1,387 to the power 21,923,769

1,387 to the power 32,668,267,603

1,387 to the power 43,700,887,165,361

1,387 to the power 55,133,130,498,355,707

First ten multiples1,387, 2,774, 4,161, 5,548, 6,935, 8,322, 9,709, 11,096, 12,483, 13,870

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

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 1

Divisible by 4No, remainder 3

Divisible by 5No, remainder 2

Divisible by 6No, remainder 1

Divisible by 7No, remainder 1

Divisible by 8No, remainder 3

Divisible by 9No, remainder 1

Divisible by 10No, remainder 7

Divisible by 11No, remainder 1

Divisible by 12No, remainder 7

Divisible by 100No, remainder 87

Collatz (3n + 1) trajectory

Steps to reach 165the total stopping time

Highest value reached6,2444× the starting value

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

First steps1,387 → 4,162 → 2,081 → 6,244 → 3,122 → 1,561 → 4,684 → 2,342 → 1,171 → 3,514 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage138,700%

1,387% as a decimal13.87

1,387% of 1001,387

1,387% of 1,00013,870

As a fraction of 1001,387/100

Read another way

As seconds23 minutes and 7 seconds

As bytes1.354 KiB

As a year1387 AD

As a 24-bit colour#00056B

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Neighbouring numbers

Derived from 1,387

Nearby primes

Other readings

Also reads as

1387 (year)

Common year
365 days
14th century
Rabbit

1387 was a common year of 365 days. It began on a Monday and ended on a Monday. Easter Sunday fell on 15 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

Century14th century

Decade1380s

Chinese zodiacRabbit

Easter Sunday15 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 as1381the most recent year whose calendar is identical, so a printed one could be reused

Calendar repeats in1398, 1410, 142111 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1387

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-18,397,670,400

Unix timestamp at the end-18,366,134,401

Years from now639 years ago

Days from today233,648 days since 1 January

The number 1387

As a number1,387

In wordsone thousand, three hundred and eighty-seven

Roman numeralsMCCCLXXXVII

Keep nerding

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Neighbouring years

Key dates

Also reads as

#113388 (colour)

#113388
Blue
Dark
Nearest: Dark slateblue

#113388 is a blue with RGB values 17, 51, 136 and HSL 223°, 78%, 30%. It is a dark colour, so white text on it reaches 11.3:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.

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Colour values

#113388#113388

HEX#113388

HEX (short)#138

RGBrgb(17, 51, 136)

RGB (0–1)0.0667, 0.2, 0.5333

RGB percentages6.7%, 20%, 53.3%

HSLhsl(222.9, 77.8%, 30%)

HSV / HSBhsv(222.9, 87.5%, 53.3%)

CMYK87.5%, 62.5%, 0%, 46.7%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,127,304

CSS custom property--colour: #113388;

Brightness & contrast

Relative luminance0.04264WCAG 2.x, 0 is black and 1 is white

Perceived brightness61 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 11.33:1

Contrast with white11.33:1WCAG normal text: AAA

Contrast with black1.85:1WCAG normal text: Fail

Greyscale equivalent#323232

Inverted#EECC77

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#00408Bno red cones; affects about 1% of men; ΔE 10.5 from the original

Deuteranopia#003586no green cones; the most common form, about 1% of men; ΔE 3.5 from the original

Tritanopia#004958no blue cones; rare, and affects men and women equally; ΔE 51.5 from the original

Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning

Contrast with white, large text11.33:1WCAG large text: AAA

Contrast with black, large text1.85:1WCAG large text: Fail

Named colours

Dark slateblue · ΔE 11.1 Midnight blue · ΔE 12.5 Rebecca purple · ΔE 22 Slate blue · ΔE 25.7 Royal blue · ΔE 27.7 Indigo · ΔE 29.3

Nearest named CSS colourDark slateblue (#483D8B)ΔE 11.09, a distinctly different colour

Hue familyblue

CSS keyword usableNo exact keyword

Colour harmonies

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

Complementary#886611

Analogous#116E88, #2B1188

Triadic#881133, #338811

Split complementary#882B11, #6E8811

Tetradic#88116E, #886611, #11882B

Tints, shades & saturation

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

Lighter +40%#7799EE

Lighter +30%#4A77E8

Lighter +20%#1C55E3

Lighter +10%#1744B5

Darker −10%#0B225B

Darker −20%#06112D

Darker −30%#000000

Darker −40%#000000

More saturated +25%#002C99

Less saturated −25%#243B75

Channel breakdown

R17

G51

B136

Red17 (6.7%)

Green51 (20%)

Blue136 (53.3%)

Hue222.86°

Saturation (HSL)77.78%

Lightness30%

Dominant channelBlue

Hex per channelR 11 · G 33 · B 88

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Harmonies

Lighter and darker

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