Recognised as Number
113,116
- Positive
- Even
- Composite
- 6 digits
113,116 is an even 6-digit integer and a composite number. It has 6 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value113,116
Digit count6
Digit sum13
Digit product18
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 28,279
Distinct prime factors22, 28,279
Number of divisors6
Sum of divisors σ(n)197,960
Aliquot sum84,844sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)56,556integers below n that share no factor with it
Carmichael function λ(n)28,278the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 56,556
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 28,279, 56,558, 113,1166 in total
Arithmetic
Representations
Decimal113,116
Binary1101110011101110017 bits
Octal334734
Hexadecimal1B9DC
Base 362FA4
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirteen thousand, one hundred and sixteen
Ordinalone hundred and thirteen thousand, one hundred and sixteenth
Scientific notation1.13116 × 10^5
Engineering notation113.116 × 10^3
In other bases
Ternary12202011111base 3; the most digit-efficient integer base after e: 11 digits
Quinary12104431base 5; one hand: 8 digits
Septenary650533base 7: 6 digits
Nonary182144base 9; each digit is two ternary digits: 6 digits
Duodecimal55564base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimale2fgbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal31:25:16base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T0T1T011111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101100111000101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000011011100111011100
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 even
Highest set bitbit 16worth 65,536
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes301 b9 dc
Gray code10110010100110010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000011011100111011100
64-bit0000000000000000000000000000000000000000000000011011100111011100
One's complement11111111111111100100011000100011at 32 bits, every bit flipped
Bits reversed00111011100111011000000000000000at 32 bits
Rotated left by 100000000000000110111001110111000at 32 bits, wrapping
Shifted left by 1110111001110111000= 226,232, no wrap
Shifted right by 11101110011101110= 56,558, discarding the low bit
These bits as a double5.58867296 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
113,116 to the power 212,795,229,456
113,116 to the power 31,447,345,175,144,896
113,116 to the power 4163,717,896,831,690,055,936
113,116 to the power 518,519,113,618,013,452,367,256,576
First ten multiples113,116, 226,232, 339,348, 452,464, 565,580, 678,696, 791,812, 904,928, 1,018,044, 1,131,160
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 1
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8No, remainder 4
Divisible by 9No, remainder 4
Divisible by 10No, remainder 6
Divisible by 11No, remainder 3
Divisible by 12No, remainder 4
Divisible by 100No, remainder 16
Collatz (3n + 1) trajectory
Steps to reach 1105the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps113,116 → 56,558 → 28,279 → 84,838 → 42,419 → 127,258 → 63,629 → 190,888 → 95,444 → 47,722 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage11,311,600%
113,116% as a decimal1,131.16
113,116% of 100113,116
113,116% of 1,0001,131,160
As a fraction of 100113,116/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 113,116
Also reads as
#113116 (colour)
- #113116
- Green
- Dark
- Nearest: Dark slate grey
#113116 is a green with RGB values 17, 49, 22 and HSL 129°, 48%, 13%. It is a dark colour, so white text on it reaches 14.2:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.
Colour values
#113116#113116
HEX#113116
RGBrgb(17, 49, 22)
RGB (0–1)0.0667, 0.1922, 0.0863
RGB percentages6.7%, 19.2%, 8.6%
HSLhsl(129.4, 48.5%, 12.9%)
HSV / HSBhsv(129.4, 65.3%, 19.2%)
CMYK65.3%, 0%, 55.1%, 80.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,126,678
CSS custom property--colour: #113116;
Brightness & contrast
Relative luminance0.02374WCAG 2.x, 0 is black and 1 is white
Perceived brightness39.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 14.24:1
Contrast with white14.24:1WCAG normal text: AAA
Contrast with black1.47:1WCAG normal text: Fail
Greyscale equivalent#282828
Inverted#EECEE9
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text14.24:1WCAG large text: AAA
Contrast with black, large text1.47:1WCAG large text: Fail
Named colours
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#31112C
Analogous#1C3111, #113126
Triadic#161131, #311611
Split complementary#261131, #31111C
Tetradic#111C31, #31112C, #312611
Tints, shades & saturation
Channel breakdown
R17
G49
B22
Red17 (6.7%)
Green49 (19.2%)
Blue22 (8.6%)
Hue129.38°
Saturation (HSL)48.48%
Lightness12.94%
Dominant channelGreen
Hex per channelR 11 · G 31 · B 16
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Harmonies
Similar named colours
Nerdulate something else
Nothing in mind? Surprise me · today’s page