Recognised as Number
2,404
- Positive
- Even
- Composite
- 4 digits
2,404 is an even 4-digit integer and a composite number. It has 6 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value2,404
Digit count4
Digit sum10
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times 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 numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 601
Distinct prime factors22, 601
Number of divisors6
Sum of divisors σ(n)4,214
Aliquot sum1,810sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,200integers below n that share no factor with it
Carmichael function λ(n)600the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,200
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 601, 1,202, 2,4046 in total
Arithmetic
Representations
Decimal2,404
Binary10010110010012 bits
Octal4544
Hexadecimal964
Base 361US
Roman numeralMMCDIV
In wordstwo thousand, four hundred and four
Ordinaltwo thousand, four hundred and fourth
Scientific notation2.404 × 10^3
Engineering notation2.404 × 10^3
In other bases
Ternary10022001base 3; the most digit-efficient integer base after e: 8 digits
Quinary34104base 5; one hand: 5 digits
Septenary10003base 7: 5 digits
Nonary3261base 9; each digit is two ternary digits: 4 digits
Duodecimal1484base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal604base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal40:4base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1010T001digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111010100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000100101100100
Bit length12 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits7within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes209 64
Gray code110111010110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000100101100100
32-bit00000000000000000000100101100100
64-bit0000000000000000000000000000000000000000000000000000100101100100
One's complement1111011010011011at 16 bits, every bit flipped
Bits reversed0010011010010000at 16 bits
Rotated left by 10001001011001000at 16 bits, wrapping
Shifted left by 11001011001000= 4,808, no wrap
Shifted right by 110010110010= 1,202, discarding the low bit
These bits as a double1.18773381 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
2,404 to the power 25,779,216
2,404 to the power 313,893,235,264
2,404 to the power 433,399,337,574,656
2,404 to the power 580,292,007,529,473,024
First ten multiples2,404, 4,808, 7,212, 9,616, 12,020, 14,424, 16,828, 19,232, 21,636, 24,040
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8No, remainder 4
Divisible by 9No, remainder 1
Divisible by 10No, remainder 4
Divisible by 11No, remainder 6
Divisible by 12No, remainder 4
Divisible by 100No, remainder 4
Collatz (3n + 1) trajectory
Steps to reach 158the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps2,404 → 1,202 → 601 → 1,804 → 902 → 451 → 1,354 → 677 → 2,032 → 1,016 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage240,400%
2,404% as a decimal24.04
2,404% of 1002,404
2,404% of 1,00024,040
As a fraction of 1002,404/100
Read another way
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Derived from 2,404
Also reads as
2404 (year)
- Leap year
- 366 days
- 25th century
- Rat
- 53 ISO weeks
2404 will be a leap year of 366 days. It begins on a Thursday and ends on a Friday. Easter Sunday falls on 28 March.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Thursday and Friday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays53one of the extras
Fridays53one of the extras
Saturdays52
Friday the 13th2 of them13 February, 13 August
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as2376the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in2432, 2460, 248828 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 2404
January31 days, starts Thursday
February29 days, starts Sunday
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 start13,695,696,000
Unix timestamp at the end13,727,318,399
Years from now378 years from now
Days from today137,801 days to 1 January
The number 2404
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Also reads as
#224400 (colour)
- #224400
- Green
- Dark
- Nearest: Dark olivegreen
#224400 is a green with RGB values 34, 68, 0 and HSL 90°, 100%, 13%. It is a dark colour, so white text on it reaches 11.1:1 contrast (AAA for normal text). The nearest named colour is Dark olivegreen.
Colour values
#224400#224400
HEX#224400
HEX (short)#240
RGBrgb(34, 68, 0)
RGB (0–1)0.1333, 0.2667, 0
RGB percentages13.3%, 26.7%, 0%
HSLhsl(90, 100%, 13.3%)
HSV / HSBhsv(90, 100%, 26.7%)
CMYK50%, 0%, 100%, 73.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer2,245,632
CSS custom property--colour: #224400;
Brightness & contrast
Relative luminance0.04474WCAG 2.x, 0 is black and 1 is white
Perceived brightness55.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.08:1
Contrast with white11.08:1WCAG normal text: AAA
Contrast with black1.89:1WCAG normal text: Fail
Greyscale equivalent#383838
Inverted#DDBBFF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text11.08:1WCAG large text: AAA
Contrast with black, large text1.89:1WCAG large text: Fail
Named colours
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#220044
Analogous#444400, #004400
Triadic#002244, #440022
Split complementary#000044, #440044
Tetradic#004444, #220044, #440000
Tints, shades & saturation
Channel breakdown
R34
G68
B0
Red34 (13.3%)
Green68 (26.7%)
Blue0 (0%)
Hue90°
Saturation (HSL)100%
Lightness13.33%
Dominant channelGreen
Hex per channelR 22 · G 44 · B 00
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Harmonies
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