Recognised as Number
4,129
- Positive
- Odd
- Prime
- 4 digits
4,129 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 7.
The canonical address for this page is /4129.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value4,129
Digit count4
Digit sum16
Digit product72
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation4,129
Distinct prime factors14,129
Number of divisors2
Sum of divisors σ(n)4,130
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)4,128integers below n that share no factor with it
Carmichael function λ(n)4,128the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)−11 distinct prime factor, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 4,1292 in total
Arithmetic
Previous number4,128
Next number4,130
Double8,258
Half2,064.5
Square17,048,641
Cube70,393,838,689
Square root64.257295306≈irrational, shown to 9 decimal places
Cube root16.042853869≈
Negation-4,129
Reciprocal0.0002421894≈
Representations
Decimal4,129
Binary100000010000113 bits
Octal10041
Hexadecimal1021
Base 3636P
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour thousand, one hundred and twenty-nine
Ordinalfour thousand, one hundred and twenty-ninth
Scientific notation4.129 × 10^3
Engineering notation4.129 × 10^3
In other bases
Ternary12122221base 3; the most digit-efficient integer base after e: 8 digits
Quinary113004base 5; one hand: 6 digits
Septenary15016base 7: 5 digits
Nonary5587base 9; each digit is two ternary digits: 4 digits
Duodecimal2481base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimala69base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:8:49base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T0T000T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000001100001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001000000100001
Bit length13 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits10within that length
Bit parityodd3 set bits, so odd; 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 21
Gray code1100000110001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001000000100001
32-bit00000000000000000001000000100001
64-bit0000000000000000000000000000000000000000000000000001000000100001
One's complement1110111111011110at 16 bits, every bit flipped
Bits reversed1000010000001000at 16 bits
Rotated left by 10010000001000010at 16 bits, wrapping
Shifted left by 110000001000010= 8,258, no wrap
Shifted right by 1100000010000= 2,064, discarding the low bit
These bits as a double2.03999705 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
4,129 to the power 217,048,641
4,129 to the power 370,393,838,689
4,129 to the power 4290,656,159,946,881
4,129 to the power 51,200,119,284,420,671,649
First ten multiples4,129, 8,258, 12,387, 16,516, 20,645, 24,774, 28,903, 33,032, 37,161, 41,290
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 1
Divisible by 7No, remainder 6
Divisible by 8No, remainder 1
Divisible by 9No, remainder 7
Divisible by 10No, remainder 9
Divisible by 11No, remainder 4
Divisible by 12No, remainder 1
Divisible by 100No, remainder 29
Collatz (3n + 1) trajectory
Steps to reach 1188the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps4,129 → 12,388 → 6,194 → 3,097 → 9,292 → 4,646 → 2,323 → 6,970 → 3,485 → 10,456 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage412,900%
4,129% as a decimal41.29
4,129% of 1004,129
4,129% of 1,00041,290
As a fraction of 1004,129/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 4,129
Also reads as
#004129 (colour)
- #004129
- Cyan
- Dark
- Nearest: Dark slate grey
#004129 is a cyan with RGB values 0, 65, 41 and HSL 158°, 100%, 13%. It is a dark colour, so white text on it reaches 11.7:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.
Colour values
#004129#004129
HEX#004129
RGBrgb(0, 65, 41)
RGB (0–1)0, 0.2549, 0.1608
RGB percentages0%, 25.5%, 16.1%
HSLhsl(157.8, 100%, 12.7%)
HSV / HSBhsv(157.8, 100%, 25.5%)
CMYK100%, 0%, 36.9%, 74.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer16,681
CSS custom property--colour: #004129;
Brightness & contrast
Relative luminance0.03941WCAG 2.x, 0 is black and 1 is white
Perceived brightness51.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.74:1
Contrast with white11.74:1WCAG normal text: AAA
Contrast with black1.79:1WCAG normal text: Fail
Greyscale equivalent#313131
Inverted#FFBED6
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text11.74:1WCAG large text: AAA
Contrast with black, large text1.79:1WCAG large text: Fail
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#410018
Analogous#004108, #003941
Triadic#290041, #412900
Split complementary#410039, #410800
Tetradic#080041, #410018, #394100
Tints, shades & saturation
Channel breakdown
R0
G65
B41
Red0 (0%)
Green65 (25.5%)
Blue41 (16.1%)
Hue157.85°
Saturation (HSL)100%
Lightness12.75%
Dominant channelGreen
Hex per channelR 00 · G 41 · B 29
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