Recognised as Number
1,624
- Positive
- Even
- Composite
- 4 digits
1,624 is an even 4-digit integer and a composite number. It has 16 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,624
Digit count4
Digit sum13
Digit product48
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 7 × 29
Distinct prime factors32, 7, 29
Number of divisors16
Sum of divisors σ(n)3,600
Aliquot sum1,976sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)672integers below n that share no factor with it
Carmichael function λ(n)84the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 672
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1,62416 in total
Arithmetic
Representations
Decimal1,624
Binary1100101100011 bits
Octal3130
Hexadecimal658
Base 36194
Roman numeralMDCXXIV
In wordsone thousand, six hundred and twenty-four
Ordinalone thousand, six hundred and twenty-fourth
Scientific notation1.624 × 10^3
Engineering notation1.624 × 10^3
In other bases
Ternary2020011base 3; the most digit-efficient integer base after e: 7 digits
Quinary22444base 5; one hand: 5 digits
Septenary4510base 7: 4 digits
Nonary2204base 9; each digit is two ternary digits: 4 digits
Duodecimalb34base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal414base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal27:4base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T1T0011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101110101000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000011001011000
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes206 58
Gray code10101110100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000011001011000
32-bit00000000000000000000011001011000
64-bit0000000000000000000000000000000000000000000000000000011001011000
One's complement1111100110100111at 16 bits, every bit flipped
Bits reversed0001101001100000at 16 bits
Rotated left by 10000110010110000at 16 bits, wrapping
Shifted left by 1110010110000= 3,248, no wrap
Shifted right by 11100101100= 812, discarding the low bit
These bits as a double8.02362609 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,624 to the power 22,637,376
1,624 to the power 34,283,098,624
1,624 to the power 46,955,752,165,376
1,624 to the power 511,296,141,516,570,624
First ten multiples1,624, 3,248, 4,872, 6,496, 8,120, 9,744, 11,368, 12,992, 14,616, 16,240
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
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 7Yes
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10No, remainder 4
Divisible by 11No, remainder 7
Divisible by 12No, remainder 4
Divisible by 100No, remainder 24
Collatz (3n + 1) trajectory
Steps to reach 142the total stopping time
Highest value reached1,624
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,624 → 812 → 406 → 203 → 610 → 305 → 916 → 458 → 229 → 688 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage162,400%
1,624% as a decimal16.24
1,624% of 1001,624
1,624% of 1,00016,240
As a fraction of 1001,624/100
Read another way
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Derived from 1,624
Also reads as
1624 (year)
- Leap year
- 366 days
- 17th century
- Rat
1624 was a leap year of 366 days. It began on a Monday and ended on a Tuesday. Easter Sunday fell on 7 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Monday and Tuesday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays53one of the extras
Tuesdays53one of the extras
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 September, 13 December
ISO weeks52an ordinary 52-week year
Same calendar as1596the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1652, 1680, 172028 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1624
January31 days, starts Monday
February29 days, starts Thursday
August31 days, starts Thursday
September30 days, starts Sunday
October31 days, starts Tuesday
November30 days, starts Friday
December31 days, starts Sunday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-10,918,713,600
Unix timestamp at the end-10,887,091,201
Years from now402 years ago
Days from today147,086 days since 1 January
The number 1624
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Also reads as
#116622 (colour)
- #116622
- Green
- Dark
- Nearest: Dark green
#116622 is a green with RGB values 17, 102, 34 and HSL 132°, 71%, 23%. It is a dark colour, so white text on it reaches 7.1:1 contrast (AAA for normal text). The nearest named colour is Dark green.
Colour values
#116622#116622
HEX#116622
HEX (short)#162
RGBrgb(17, 102, 34)
RGB (0–1)0.0667, 0.4, 0.1333
RGB percentages6.7%, 40%, 13.3%
HSLhsl(132, 71.4%, 23.3%)
HSV / HSBhsv(132, 83.3%, 40%)
CMYK83.3%, 0%, 66.7%, 60%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,140,258
CSS custom property--colour: #116622;
Brightness & contrast
Relative luminance0.09737WCAG 2.x, 0 is black and 1 is white
Perceived brightness79.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 7.12:1
Contrast with white7.12:1WCAG normal text: AAA
Contrast with black2.95:1WCAG normal text: Fail
Greyscale equivalent#4F4F4F
Inverted#EE99DD
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text7.12:1WCAG large text: AAA
Contrast with black, large text2.95:1WCAG large text: Fail
Named colours
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#661155
Analogous#2B6611, #11664D
Triadic#221166, #662211
Split complementary#4D1166, #66112A
Tetradic#112A66, #661155, #664C11
Tints, shades & saturation
Channel breakdown
R17
G102
B34
Red17 (6.7%)
Green102 (40%)
Blue34 (13.3%)
Hue132°
Saturation (HSL)71.43%
Lightness23.33%
Dominant channelGreen
Hex per channelR 11 · G 66 · B 22
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Harmonies
Similar named colours
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