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Recognised as Number

1,402

  • Positive
  • Even
  • Composite
  • 4 digits

1,402 is an even 4-digit integer and a composite number. It has 4 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,402
Digit count4
Digit sum7
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 701
Distinct prime factors22, 701
Number of divisors4
Sum of divisors σ(n)2,106
Aliquot sum704sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)700integers below n that share no factor with it
Carmichael function λ(n)700the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 701, 1,4024 in total

Arithmetic

Previous number1,401
Next number1,403
Double2,804
Half701
Square1,965,604
Cube2,755,776,808
Square root37.443290454≈irrational, shown to 9 decimal places
Cube root11.192213976≈
Negation-1,402
Reciprocal0.0007132668≈

Representations

Decimal1,402
Binary1010111101011 bits
Octal2572
Hexadecimal57A
Base 3612Y
Roman numeralMCDII
In wordsone thousand, four hundred and two
Ordinalone thousand, four hundred and second
Scientific notation1.402 × 10^3
Engineering notation1.402 × 10^3

In other bases

Ternary1220221base 3; the most digit-efficient integer base after e: 7 digits
Quinary21102base 5; one hand: 5 digits
Septenary4042base 7: 4 digits
Nonary1827base 9; each digit is two ternary digits: 4 digits
Duodecimal98abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal3a2base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal23:22base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T0T10T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101010001110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010101111010
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 even
Highest set bitbit 10worth 1,024
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes205 7a
Gray code11111000111n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010101111010
32-bit00000000000000000000010101111010
64-bit0000000000000000000000000000000000000000000000000000010101111010
One's complement1111101010000101at 16 bits, every bit flipped
Bits reversed0101111010100000at 16 bits
Rotated left by 10000101011110100at 16 bits, wrapping
Shifted left by 1101011110100= 2,804, no wrap
Shifted right by 11010111101= 701, discarding the low bit
These bits as a double6.92680035 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,409+7
Previous prime1,399−3
Distance to nearest prime3
Nearest square below1,369
Nearest square above1,444

Powers & multiples

1,402 to the power 21,965,604
1,402 to the power 32,755,776,808
1,402 to the power 43,863,599,084,816
1,402 to the power 55,416,765,916,912,032
First ten multiples1,402, 2,804, 4,206, 5,608, 7,010, 8,412, 9,814, 11,216, 12,618, 14,020
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 2
Divisible by 8No, remainder 2
Divisible by 9No, remainder 7
Divisible by 10No, remainder 2
Divisible by 11No, remainder 5
Divisible by 12No, remainder 10
Divisible by 100No, remainder 2

Collatz (3n + 1) trajectory

Steps to reach 183the total stopping time
Highest value reached9,2326× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,402 → 701 → 2,104 → 1,052 → 526 → 263 → 790 → 395 → 1,186 → 593 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage140,200%
1,402% as a decimal14.02
1,402% of 1001,402
1,402% of 1,00014,020
As a fraction of 1001,402/100

Read another way

As seconds23 minutes and 22 seconds
As bytes1.369 KiB
As a year1402 AD
As a 24-bit colour#00057A

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Neighbouring numbers

Nearby primes

Also reads as

1402 (year)

  • Common year
  • 365 days
  • 15th century
  • Horse

1402 was a common year of 365 days. It began on a Friday and ended on a Friday. Easter Sunday fell on 28 March.

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Structure of the year

Leap yearNonot divisible by 4
Days in the year365
Days in February28
1 January fell on aFriday
31 December fell on aFriday
Century15th century
Decade1400s
Chinese zodiacHorse
Easter Sunday28 March

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Friday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays53one of the extras
Saturdays52
Friday the 13th1 of them13 August
ISO weeks52an ordinary 52-week year
Same calendar as1390the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1413, 1419, 143011 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1402

January31 days, starts Friday
February28 days, starts Monday
March31 days, starts Monday
April30 days, starts Thursday
May31 days, starts Saturday
June30 days, starts Tuesday
July31 days, starts Thursday
August31 days, starts Sunday
September30 days, starts Wednesday
October31 days, starts Friday
November30 days, starts Monday
December31 days, starts Wednesday

Time references

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

Unix timestamp at the start-17,924,371,200
Unix timestamp at the end-17,892,835,201
Years from now624 years ago
Days from today228,171 days since 1 January

The number 1402

As a number1,402
In wordsone thousand, four hundred and two
Roman numeralsMCDII

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Neighbouring years

Also reads as

#114400 (colour)

  • #114400
  • Green
  • Dark
  • Nearest: Dark green

#114400 is a green with RGB values 17, 68, 0 and HSL 105°, 100%, 13%. 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 green.

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Colour values

#114400#114400
HEX#114400
HEX (short)#140
RGBrgb(17, 68, 0)
RGB (0–1)0.0667, 0.2667, 0
RGB percentages6.7%, 26.7%, 0%
HSLhsl(105, 100%, 13.3%)
HSV / HSBhsv(105, 100%, 26.7%)
CMYK75%, 0%, 100%, 73.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,131,520
CSS custom property--colour: #114400;

Brightness & contrast

Relative luminance0.04253WCAG 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 11.35:1
Contrast with white11.35:1WCAG normal text: AAA
Contrast with black1.85:1WCAG normal text: Fail
Greyscale equivalent#343434
Inverted#EEBBFF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#463D00no red cones; affects about 1% of men; ΔE 27.1 from the original
Deuteranopia#403908no green cones; the most common form, about 1% of men; ΔE 26.9 from the original
Tritanopia#094138no blue cones; rare, and affects men and women equally; ΔE 33.3 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text11.35:1WCAG large text: AAA
Contrast with black, large text1.85:1WCAG large text: Fail

Named colours

Dark green · ΔE 20.3Dark olivegreen · ΔE 21Sea green · ΔE 31.2Olivedrab · ΔE 34.9Forest green · ΔE 35.1Green · ΔE 35.5
Nearest named CSS colourDark green (#006400)ΔE 20.25, a distinctly different colour
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#330044
Analogous#334400, #004411
Triadic#001144, #440011
Split complementary#110044, #440033
Tetradic#003344, #330044, #441100

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#4DFF11
Lighter +30%#37DD00
Lighter +20%#2BAA00
Lighter +10%#1E7700
Darker −10%#041100
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#114400
Less saturated −25%#153C08

Channel breakdown

R17
G68
B0
Red17 (6.7%)
Green68 (26.7%)
Blue0 (0%)
Hue105°
Saturation (HSL)100%
Lightness13.33%
Dominant channelGreen
Hex per channelR 11 · G 44 · B 00

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Every value on this page was computed from “1402” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.