Recognised as Number
637
- Positive
- Odd
- Composite
- 3 digits
637 is an odd 3-digit integer and a composite number. It has 6 divisors and a digital root of 7.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value637
Digit count3
Digit sum16
Digit product126
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation7^2 × 13
Distinct prime factors27, 13
Number of divisors6
Sum of divisors σ(n)798
Aliquot sum161sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)504integers 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) = 504
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 7, 13, 49, 91, 6376 in total
Arithmetic
Representations
Decimal637
Binary100111110110 bits
Octal1175
Hexadecimal27D
Base 36HP
Roman numeralDCXXXVII
In wordssix hundred and thirty-seven
Ordinalsix hundred and thirty-seventh
Scientific notation6.37 × 10^2
Engineering notation637
In other bases
Ternary212121base 3; the most digit-efficient integer base after e: 6 digits
Quinary10022base 5; one hand: 5 digits
Septenary1600base 7: 4 digits
Nonary777base 9; each digit is two ternary digits: 3 digits
Duodecimal451base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1bhbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal10:37base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary10T0TT1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11110001101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001001111101
Bit length10 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits3within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes202 7d
Gray code1101000011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001001111101
32-bit00000000000000000000001001111101
64-bit0000000000000000000000000000000000000000000000000000001001111101
One's complement1111110110000010at 16 bits, every bit flipped
Bits reversed1011111001000000at 16 bits
Rotated left by 10000010011111010at 16 bits, wrapping
Shifted left by 110011111010= 1,274, no wrap
Shifted right by 1100111110= 318, discarding the low bit
These bits as a double3.14719816 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
637 to the power 2405,769
637 to the power 3258,474,853
637 to the power 4164,648,481,361
637 to the power 5104,881,082,626,957
First ten multiples637, 1,274, 1,911, 2,548, 3,185, 3,822, 4,459, 5,096, 5,733, 6,370
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 1
Divisible by 7Yes
Divisible by 8No, remainder 5
Divisible by 9No, remainder 7
Divisible by 10No, remainder 7
Divisible by 11No, remainder 10
Divisible by 12No, remainder 1
Divisible by 100No, remainder 37
Collatz (3n + 1) trajectory
Steps to reach 156the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps637 → 1,912 → 956 → 478 → 239 → 718 → 359 → 1,078 → 539 → 1,618 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage63,700%
637% as a decimal6.37
637% of 100637
637% of 1,0006,370
As a fraction of 100637/100
Read another way
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Derived from 637
Other readings
Also reads as
#663377 (colour)
- #663377
- Violet
- Dark
- Nearest: Dark slateblue
#663377 is a violet with RGB values 102, 51, 119 and HSL 285°, 40%, 33%. It is a dark colour, so white text on it reaches 9.1:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#663377#663377
HEX#663377
HEX (short)#637
RGBrgb(102, 51, 119)
RGB (0–1)0.4, 0.2, 0.4667
RGB percentages40%, 20%, 46.7%
HSLhsl(285, 40%, 33.3%)
HSV / HSBhsv(285, 57.1%, 46.7%)
CMYK14.3%, 57.1%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer6,697,847
CSS custom property--colour: #663377;
Brightness & contrast
Relative luminance0.06524WCAG 2.x, 0 is black and 1 is white
Perceived brightness79.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.11:1
Contrast with white9.11:1WCAG normal text: AAA
Contrast with black2.3:1WCAG normal text: Fail
Greyscale equivalent#434343
Inverted#99CC88
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text9.11:1WCAG large text: AAA
Contrast with black, large text2.3:1WCAG large text: Fail
Named colours
Hue familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#447733
Analogous#443377, #773366
Triadic#776633, #337766
Split complementary#667733, #337744
Tetradic#774433, #447733, #336677
Tints, shades & saturation
Channel breakdown
R102
G51
B119
Red102 (40%)
Green51 (20%)
Blue119 (46.7%)
Hue285°
Saturation (HSL)40%
Lightness33.33%
Dominant channelBlue
Hex per channelR 66 · G 33 · B 77
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Harmonies
Similar named colours
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