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Recognised as Number

1,389

Positive
Odd
Composite
4 digits

1,389 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 3.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,389

Digit count4

Digit sum21

Digit product216

Multiplicative persistence3times the digit product can be taken before one digit is left

Digital root3repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 463

Distinct prime factors23, 463

Number of divisors4

Sum of divisors σ(n)1,856

Aliquot sum467sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)924integers below n that share no factor with it

Carmichael function λ(n)462the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 924

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

SquarefreeYesno repeated prime factor

All divisors1, 3, 463, 1,3894 in total

Arithmetic

Previous number1,388

Next number1,390

Double2,778

Square1,929,321

Cube2,679,826,869

Square root37.269290307≈irrational, shown to 9 decimal places

Cube root11.157513353≈

Negation-1,389

Reciprocal0.0007199424≈

Representations

Decimal1,389

Binary1010110110111 bits

Octal2555

Hexadecimal56D

Base 3612L

Roman numeralMCCCLXXXIX

In wordsone thousand, three hundred and eighty-nine

Ordinalone thousand, three hundred and eighty-ninth

Scientific notation1.389 × 10^3

Engineering notation1.389 × 10^3

In other bases

Ternary1220110base 3; the most digit-efficient integer base after e: 7 digits

Quinary21024base 5; one hand: 5 digits

Septenary4023base 7: 4 digits

Nonary1813base 9; each digit is two ternary digits: 4 digits

Duodecimal979base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits

Vigesimal399base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits

Sexagesimal23:9base 60; Babylonian, and still how an hour and a circle are divided: 2 digits

Balanced ternary1T0T0110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary1101010111101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010101101101

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 6d

Gray code11111011011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010101101101

32-bit00000000000000000000010101101101

64-bit0000000000000000000000000000000000000000000000000000010101101101

One's complement1111101010010010at 16 bits, every bit flipped

Bits reversed1011011010100000at 16 bits

Rotated left by 10000101011011010at 16 bits, wrapping

Shifted left by 1101011011010= 2,778, no wrap

Shifted right by 11010110110= 694, discarding the low bit

These bits as a double6.86257182 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,399+10

Previous prime1,381−8

Distance to nearest prime8

Nearest square below1,369

Nearest square above1,444

Powers & multiples

1,389 to the power 21,929,321

1,389 to the power 32,679,826,869

1,389 to the power 43,722,279,521,041

1,389 to the power 55,170,246,254,725,949

First ten multiples1,389, 2,778, 4,167, 5,556, 6,945, 8,334, 9,723, 11,112, 12,501, 13,890

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

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 1

Divisible by 5No, remainder 4

Divisible by 6No, remainder 3

Divisible by 7No, remainder 3

Divisible by 8No, remainder 5

Divisible by 9No, remainder 3

Divisible by 10No, remainder 9

Divisible by 11No, remainder 3

Divisible by 12No, remainder 9

Divisible by 100No, remainder 89

Collatz (3n + 1) trajectory

Steps to reach 1127the total stopping time

Highest value reached9,2326× the starting value

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

First steps1,389 → 4,168 → 2,084 → 1,042 → 521 → 1,564 → 782 → 391 → 1,174 → 587 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage138,900%

1,389% as a decimal13.89

1,389% of 1001,389

1,389% of 1,00013,890

As a fraction of 1001,389/100

Read another way

As seconds23 minutes and 9 seconds

As bytes1.356 KiB

As a year1389 AD

As a 24-bit colour#00056D

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Neighbouring numbers

Derived from 1,389

Nearby primes

Other readings

Also reads as

1389 (year)

Common year
365 days
14th century
Snake
53 ISO weeks

1389 was a common year of 365 days. It began on a Thursday and ended on a Thursday. Easter Sunday fell on 19 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

Decade1380s

Chinese zodiacSnake

Easter Sunday19 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 as1378the most recent year whose calendar is identical, so a printed one could be reused

Calendar repeats in1395, 1401, 14076 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1389

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-18,334,512,000

Unix timestamp at the end-18,302,976,001

Years from now637 years ago

Days from today232,917 days since 1 January

The number 1389

As a number1,389

In wordsone thousand, three hundred and eighty-nine

Roman numeralsMCCCLXXXIX

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

Similar named colours

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