Recognised as Number
1,404
- Positive
- Even
- Composite
- 4 digits
1,404 is an even 4-digit integer and a composite number. It has 24 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,404
Digit count4
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 3^3 × 13
Distinct prime factors32, 3, 13
Number of divisors24
Sum of divisors σ(n)3,920
Aliquot sum2,516sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)432integers below n that share no factor with it
Carmichael function λ(n)36the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 432
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1,40424 in total
Arithmetic
Representations
Decimal1,404
Binary1010111110011 bits
Octal2574
Hexadecimal57C
Base 36130
Roman numeralMCDIV
In wordsone thousand, four hundred and four
Ordinalone thousand, four hundred and fourth
Scientific notation1.404 × 10^3
Engineering notation1.404 × 10^3
In other bases
Ternary1221000base 3; the most digit-efficient integer base after e: 7 digits
Quinary21104base 5; one hand: 5 digits
Septenary4044base 7: 4 digits
Nonary1830base 9; each digit is two ternary digits: 4 digits
Duodecimal990base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal3a4base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal23:24base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T0T1000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101010001100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010101111100
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 22 trailing zeros
Power of twoNo
Bytes205 7c
Gray code11111000010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010101111100
32-bit00000000000000000000010101111100
64-bit0000000000000000000000000000000000000000000000000000010101111100
One's complement1111101010000011at 16 bits, every bit flipped
Bits reversed0011111010100000at 16 bits
Rotated left by 10000101011111000at 16 bits, wrapping
Shifted left by 1101011111000= 2,808, no wrap
Shifted right by 11010111110= 702, discarding the low bit
These bits as a double6.93668167 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,404 to the power 21,971,216
1,404 to the power 32,767,587,264
1,404 to the power 43,885,692,518,656
1,404 to the power 55,455,512,296,193,024
First ten multiples1,404, 2,808, 4,212, 5,616, 7,020, 8,424, 9,828, 11,232, 12,636, 14,040
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6Yes
Divisible by 7No, remainder 4
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10No, remainder 4
Divisible by 11No, remainder 7
Divisible by 12Yes
Divisible by 100No, remainder 4
Collatz (3n + 1) trajectory
Steps to reach 183the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,404 → 702 → 351 → 1,054 → 527 → 1,582 → 791 → 2,374 → 1,187 → 3,562 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage140,400%
1,404% as a decimal14.04
1,404% of 1001,404
1,404% of 1,00014,040
As a fraction of 1001,404/100
Read another way
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Derived from 1,404
Also reads as
1404 (year)
- Leap year
- 366 days
- 15th century
- Monkey
1404 was a leap year of 366 days. It began on a Sunday and ended on a Monday. Easter Sunday fell on 8 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Sunday and Monday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays53one of the extras
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th3 of them13 January, 13 April, 13 July
ISO weeks52an ordinary 52-week year
Same calendar as1392the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1432, 1460, 148828 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1404
January31 days, starts Sunday
February29 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-17,861,299,200
Unix timestamp at the end-17,829,676,801
Years from now622 years ago
Days from today227,440 days since 1 January
The number 1404
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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.
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
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
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#330044
Analogous#334400, #004411
Triadic#001144, #440011
Split complementary#110044, #440033
Tetradic#003344, #330044, #441100
Tints, shades & saturation
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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Harmonies
Similar named colours
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