Recognised as Number
117,120
- Positive
- Even
- Composite
- 6 digits
117,120 is an even 6-digit integer and a composite number. It has 64 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value117,120
Digit count6
Digit sum12
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^7 × 3 × 5 × 61
Distinct prime factors42, 3, 5, 61
Number of divisors64
Sum of divisors σ(n)379,440
Aliquot sum262,320sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)30,720integers below n that share no factor with it
Carmichael function λ(n)480the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 30,720
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 61, 64, 80, 96, 120, 122, 128, 160, 183, 192, 240, 244, 305, 320, 366, 384, 480, 488, 610, 640, 732, 915, 960, 976, 1,220, 1,464, 1,830, 1,920, 1,952, 2,440, 2,928, 3,660, 3,904, 4,880, 5,856, 7,320, 7,808, 9,760, 11,712, 14,640, 19,520, 23,424, 29,280, 39,040, 58,560, 117,12064 in total
Arithmetic
Representations
Decimal117,120
Binary1110010011000000017 bits
Octal344600
Hexadecimal1C980
Base 362IDC
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and seventeen thousand, one hundred and twenty
Ordinalone hundred and seventeen thousand, one hundred and twentieth
Scientific notation1.1712 × 10^5
Engineering notation117.12 × 10^3
In other bases
Ternary12221122210base 3; the most digit-efficient integer base after e: 11 digits
Quinary12221440base 5; one hand: 8 digits
Septenary665313base 7: 6 digits
Nonary187583base 9; each digit is two ternary digits: 6 digits
Duodecimal57940base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalecg0base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal32:32:0base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T000TT00T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101101111010000000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000011100100110000000
Bit length17 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits11within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 16worth 65,536
Lowest set bitbit 77 trailing zeros
Power of twoNo
Bytes301 c9 80
Gray code10010110101000000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000011100100110000000
64-bit0000000000000000000000000000000000000000000000011100100110000000
One's complement11111111111111100011011001111111at 32 bits, every bit flipped
Bits reversed00000001100100111000000000000000at 32 bits
Rotated left by 100000000000000111001001100000000at 32 bits, wrapping
Shifted left by 1111001001100000000= 234,240, no wrap
Shifted right by 11110010011000000= 58,560, discarding the low bit
These bits as a double5.78649684 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
117,120 to the power 213,717,094,400
117,120 to the power 31,606,546,096,128,000
117,120 to the power 4188,158,678,778,511,360,000
117,120 to the power 522,037,144,458,539,250,483,200,000
First ten multiples117,120, 234,240, 351,360, 468,480, 585,600, 702,720, 819,840, 936,960, 1,054,080, 1,171,200
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 3
Divisible by 10Yes
Divisible by 11No, remainder 3
Divisible by 12Yes
Divisible by 100No, remainder 20
Collatz (3n + 1) trajectory
Steps to reach 1136the total stopping time
Highest value reached117,120
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps117,120 → 58,560 → 29,280 → 14,640 → 7,320 → 3,660 → 1,830 → 915 → 2,746 → 1,373 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage11,712,000%
117,120% as a decimal1,171.2
117,120% of 100117,120
117,120% of 1,0001,171,200
As a fraction of 100117,120/100
Read another way
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Derived from 117,120
Also reads as
#117120 (colour)
- #117120
- Green
- Dark
- Nearest: Dark green
#117120 is a green with RGB values 17, 113, 32 and HSL 129°, 74%, 25%. It is a dark colour, so white text on it reaches 6.2:1 contrast (AA for normal text). The nearest named colour is Dark green.
Colour values
#117120#117120
HEX#117120
RGBrgb(17, 113, 32)
RGB (0–1)0.0667, 0.4431, 0.1255
RGB percentages6.7%, 44.3%, 12.5%
HSLhsl(129.4, 73.8%, 25.5%)
HSV / HSBhsv(129.4, 85%, 44.3%)
CMYK85%, 0%, 71.7%, 55.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,143,072
CSS custom property--colour: #117120;
Brightness & contrast
Relative luminance0.12034WCAG 2.x, 0 is black and 1 is white
Perceived brightness87.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.16:1
Contrast with white6.16:1WCAG normal text: AA
Contrast with black3.41:1WCAG normal text: Fail
Greyscale equivalent#575757
Inverted#EE8EDF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.16:1WCAG large text: AAA
Contrast with black, large text3.41:1WCAG large text: AA
Named colours
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#711162
Analogous#327111, #117150
Triadic#201171, #712011
Split complementary#501171, #711132
Tetradic#113271, #711162, #715011
Tints, shades & saturation
Channel breakdown
R17
G113
B32
Red17 (6.7%)
Green113 (44.3%)
Blue32 (12.5%)
Hue129.38°
Saturation (HSL)73.85%
Lightness25.49%
Dominant channelGreen
Hex per channelR 11 · G 71 · B 20
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Harmonies
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