Recognised as Number
121,104
- Positive
- Even
- Composite
- Perfect square
- 6 digits
121,104 is an even 6-digit integer and a composite number. It has 45 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value121,104
Digit count6
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 348²
Happy numberYessquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 3^2 × 29^2
Distinct prime factors32, 3, 29
Number of divisors45
Sum of divisors σ(n)351,013
Aliquot sum229,909sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)38,976integers below n that share no factor with it
Carmichael function λ(n)2,436the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 38,976
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 841, 1,044, 1,392, 1,682, 2,088, 2,523, 3,364, 4,176, 5,046, 6,728, 7,569, 10,092, 13,456, 15,138, 20,184, 30,276, 40,368, 60,552, 121,10445 in total
Arithmetic
Representations
Decimal121,104
Binary1110110010001000017 bits
Octal354420
Hexadecimal1D910
Base 362LG0
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and twenty-one thousand, one hundred and four
Ordinalone hundred and twenty-one thousand, one hundred and fourth
Scientific notation1.21104 × 10^5
Engineering notation121.104 × 10^3
In other bases
Ternary20011010100base 3; the most digit-efficient integer base after e: 11 digits
Quinary12333404base 5; one hand: 8 digits
Septenary1013034base 7: 7 digits
Nonary204110base 9; each digit is two ternary digits: 6 digits
Duodecimal5a100base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalf2f4base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal33:38:24base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T0011010100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100010100100010000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000011101100100010000
Bit length17 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits10within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 16worth 65,536
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes301 d9 10
Gray code10011010110011000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000011101100100010000
64-bit0000000000000000000000000000000000000000000000011101100100010000
One's complement11111111111111100010011011101111at 32 bits, every bit flipped
Bits reversed00001000100110111000000000000000at 32 bits
Rotated left by 100000000000000111011001000100000at 32 bits, wrapping
Shifted left by 1111011001000100000= 242,208, no wrap
Shifted right by 11110110010001000= 60,552, discarding the low bit
These bits as a double5.9833326 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
121,104 to the power 214,666,178,816
121,104 to the power 31,776,132,919,332,864
121,104 to the power 4215,096,801,062,887,161,856
121,104 to the power 526,049,082,995,919,886,849,409,024
First ten multiples121,104, 242,208, 363,312, 484,416, 605,520, 726,624, 847,728, 968,832, 1,089,936, 1,211,040
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 5No, remainder 4
Divisible by 6Yes
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10No, remainder 4
Divisible by 11No, remainder 5
Divisible by 12Yes
Divisible by 100No, remainder 4
Collatz (3n + 1) trajectory
Steps to reach 1136the total stopping time
Highest value reached121,104
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps121,104 → 60,552 → 30,276 → 15,138 → 7,569 → 22,708 → 11,354 → 5,677 → 17,032 → 8,516 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage12,110,400%
121,104% as a decimal1,211.04
121,104% of 100121,104
121,104% of 1,0001,211,040
As a fraction of 100121,104/100
Read another way
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Derived from 121,104
Also reads as
#121104 (colour)
- #121104
- Yellow
- Dark
- Nearest: Black
#121104 is a yellow with RGB values 18, 17, 4 and HSL 56°, 64%, 4%. It is a dark colour, so white text on it reaches 19:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#121104#121104
HEX#121104
RGBrgb(18, 17, 4)
RGB (0–1)0.0706, 0.0667, 0.0157
RGB percentages7.1%, 6.7%, 1.6%
HSLhsl(55.7, 63.6%, 4.3%)
HSV / HSBhsv(55.7, 77.8%, 7.1%)
CMYK0%, 5.6%, 77.8%, 92.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,184,004
CSS custom property--colour: #121104;
Brightness & contrast
Relative luminance0.00538WCAG 2.x, 0 is black and 1 is white
Perceived brightness16.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.96:1
Contrast with white18.96:1WCAG normal text: AAA
Contrast with black1.11:1WCAG normal text: Fail
Greyscale equivalent#101010
Inverted#EDEEFB
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.96:1WCAG large text: AAA
Contrast with black, large text1.11:1WCAG large text: Fail
Named colours
Hue familyyellow
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#040512
Analogous#120A04, #0C1204
Triadic#041211, #110412
Split complementary#040C12, #0A0412
Tetradic#04120A, #040512, #12040C
Tints, shades & saturation
Channel breakdown
R18
G17
B4
Red18 (7.1%)
Green17 (6.7%)
Blue4 (1.6%)
Hue55.71°
Saturation (HSL)63.64%
Lightness4.31%
Dominant channelRed
Hex per channelR 12 · G 11 · B 04
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Harmonies
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