Recognised as Number
112,437
- Positive
- Odd
- Composite
- 6 digits
112,437 is an odd 6-digit integer and a composite number. It has 18 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value112,437
Digit count6
Digit sum18
Digit product168
Multiplicative persistence4times 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 numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3^2 × 13 × 31^2
Distinct prime factors33, 13, 31
Number of divisors18
Sum of divisors σ(n)180,726
Aliquot sum68,289sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)66,960integers below n that share no factor with it
Carmichael function λ(n)1,860the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 66,960
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 961, 1,209, 2,883, 3,627, 8,649, 12,493, 37,479, 112,43718 in total
Arithmetic
Representations
Decimal112,437
Binary1101101110011010117 bits
Octal333465
Hexadecimal1B735
Base 362ER9
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and twelve thousand, four hundred and thirty-seven
Ordinalone hundred and twelve thousand, four hundred and thirty-seventh
Scientific notation1.12437 × 10^5
Engineering notation112.437 × 10^3
In other bases
Ternary12201020100base 3; the most digit-efficient integer base after e: 11 digits
Quinary12044222base 5; one hand: 8 digits
Septenary645543base 7: 6 digits
Nonary181210base 9; each digit is two ternary digits: 6 digits
Duodecimal55099base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimale11hbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal31:13:57base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T0T011T0100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101100101101110101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000011011011100110101
Bit length17 bitsto write the magnitude
Set bits11the population count, or Hamming weight
Zero bits6within that length
Bit parityodd11 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 16worth 65,536
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes301 b7 35
Gray code10110110010101111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000011011011100110101
64-bit0000000000000000000000000000000000000000000000011011011100110101
One's complement11111111111111100100100011001010at 32 bits, every bit flipped
Bits reversed10101100111011011000000000000000at 32 bits
Rotated left by 100000000000000110110111001101010at 32 bits, wrapping
Shifted left by 1110110111001101010= 224,874, no wrap
Shifted right by 11101101110011010= 56,218, discarding the low bit
These bits as a double5.5551259 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
112,437 to the power 212,642,078,969
112,437 to the power 31,421,437,433,037,453
112,437 to the power 4159,822,160,658,432,102,961
112,437 to the power 517,969,924,277,952,130,360,625,957
First ten multiples112,437, 224,874, 337,311, 449,748, 562,185, 674,622, 787,059, 899,496, 1,011,933, 1,124,370
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 5
Divisible by 9Yes
Divisible by 10No, remainder 7
Divisible by 11No, remainder 6
Divisible by 12No, remainder 9
Divisible by 100No, remainder 37
Collatz (3n + 1) trajectory
Steps to reach 161the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps112,437 → 337,312 → 168,656 → 84,328 → 42,164 → 21,082 → 10,541 → 31,624 → 15,812 → 7,906 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage11,243,700%
112,437% as a decimal1,124.37
112,437% of 100112,437
112,437% of 1,0001,124,370
As a fraction of 100112,437/100
Read another way
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Derived from 112,437
Also reads as
#112437 (colour)
- #112437
- Blue
- Dark
- Nearest: Black
#112437 is a blue with RGB values 17, 36, 55 and HSL 210°, 53%, 14%. It is a dark colour, so white text on it reaches 15.8:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#112437#112437
HEX#112437
RGBrgb(17, 36, 55)
RGB (0–1)0.0667, 0.1412, 0.2157
RGB percentages6.7%, 14.1%, 21.6%
HSLhsl(210, 52.8%, 14.1%)
HSV / HSBhsv(210, 69.1%, 21.6%)
CMYK69.1%, 34.5%, 0%, 78.4%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,123,383
CSS custom property--colour: #112437;
Brightness & contrast
Relative luminance0.01657WCAG 2.x, 0 is black and 1 is white
Perceived brightness34.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.77:1
Contrast with white15.77:1WCAG normal text: AAA
Contrast with black1.33:1WCAG normal text: Fail
Greyscale equivalent#212121
Inverted#EEDBC8
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text15.77:1WCAG large text: AAA
Contrast with black, large text1.33:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#372411
Analogous#113737, #111137
Triadic#371124, #243711
Split complementary#371111, #373711
Tetradic#371137, #372411, #113711
Tints, shades & saturation
Channel breakdown
R17
G36
B55
Red17 (6.7%)
Green36 (14.1%)
Blue55 (21.6%)
Hue210°
Saturation (HSL)52.78%
Lightness14.12%
Dominant channelBlue
Hex per channelR 11 · G 24 · B 37
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Harmonies
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