Recognised as Number
4,121
- Positive
- Odd
- Composite
- 4 digits
4,121 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 8.
The canonical address for this page is /4121.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value4,121
Digit count4
Digit sum8
Digit product8
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation13 × 317
Distinct prime factors213, 317
Number of divisors4
Sum of divisors σ(n)4,452
Aliquot sum331sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)3,792integers below n that share no factor with it
Carmichael function λ(n)948the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 3,792
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 13, 317, 4,1214 in total
Arithmetic
Previous number4,120
Next number4,122
Double8,242
Half2,060.5
Square16,982,641
Cube69,985,463,561
Square root64.195015383≈irrational, shown to 9 decimal places
Cube root16.03248608≈
Negation-4,121
Reciprocal0.0002426595≈
Representations
Decimal4,121
Binary100000001100113 bits
Octal10031
Hexadecimal1019
Base 3636H
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour thousand, one hundred and twenty-one
Ordinalfour thousand, one hundred and twenty-first
Scientific notation4.121 × 10^3
Engineering notation4.121 × 10^3
In other bases
Ternary12122122base 3; the most digit-efficient integer base after e: 8 digits
Quinary112441base 5; one hand: 6 digits
Septenary15005base 7: 5 digits
Nonary5578base 9; each digit is two ternary digits: 4 digits
Duodecimal2475base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimala61base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:8:41base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T0T00T0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000001101001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001000000011001
Bit length13 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits9within that length
Bit parityeven4 set bits, so even; not the same as the number itself being odd
Highest set bitbit 12worth 4,096
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes210 19
Gray code1100000010101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001000000011001
32-bit00000000000000000001000000011001
64-bit0000000000000000000000000000000000000000000000000001000000011001
One's complement1110111111100110at 16 bits, every bit flipped
Bits reversed1001100000001000at 16 bits
Rotated left by 10010000000110010at 16 bits, wrapping
Shifted left by 110000000110010= 8,242, no wrap
Shifted right by 1100000001100= 2,060, discarding the low bit
These bits as a double2.03604453 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
4,121 to the power 216,982,641
4,121 to the power 369,985,463,561
4,121 to the power 4288,410,095,334,881
4,121 to the power 51,188,538,002,875,044,601
First ten multiples4,121, 8,242, 12,363, 16,484, 20,605, 24,726, 28,847, 32,968, 37,089, 41,210
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 1
Divisible by 9No, remainder 8
Divisible by 10No, remainder 1
Divisible by 11No, remainder 7
Divisible by 12No, remainder 5
Divisible by 100No, remainder 21
Collatz (3n + 1) trajectory
Steps to reach 164the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps4,121 → 12,364 → 6,182 → 3,091 → 9,274 → 4,637 → 13,912 → 6,956 → 3,478 → 1,739 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage412,100%
4,121% as a decimal41.21
4,121% of 1004,121
4,121% of 1,00041,210
As a fraction of 1004,121/100
Read another way
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Derived from 4,121
Also reads as
#004121 (colour)
- #004121
- Cyan
- Dark
- Nearest: Dark slate grey
#004121 is a cyan with RGB values 0, 65, 33 and HSL 150°, 100%, 13%. It is a dark colour, so white text on it reaches 11.8:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.
Colour values
#004121#004121
HEX#004121
RGBrgb(0, 65, 33)
RGB (0–1)0, 0.2549, 0.1294
RGB percentages0%, 25.5%, 12.9%
HSLhsl(150.5, 100%, 12.7%)
HSV / HSBhsv(150.5, 100%, 25.5%)
CMYK100%, 0%, 49.2%, 74.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer16,673
CSS custom property--colour: #004121;
Brightness & contrast
Relative luminance0.0389WCAG 2.x, 0 is black and 1 is white
Perceived brightness51 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.81:1
Contrast with white11.81:1WCAG normal text: AAA
Contrast with black1.78:1WCAG normal text: Fail
Greyscale equivalent#313131
Inverted#FFBEDE
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text11.81:1WCAG large text: AAA
Contrast with black, large text1.78:1WCAG large text: Fail
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#410020
Analogous#004100, #004141
Triadic#210041, #412100
Split complementary#410041, #410000
Tetradic#000041, #410020, #414100
Tints, shades & saturation
Channel breakdown
R0
G65
B33
Red0 (0%)
Green65 (25.5%)
Blue33 (12.9%)
Hue150.46°
Saturation (HSL)100%
Lightness12.75%
Dominant channelGreen
Hex per channelR 00 · G 41 · B 21
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Harmonies
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