Recognised as Number
513,013
- Positive
- Odd
- Prime
- 6 digits
513,013 is an odd 6-digit integer and a prime number. It has 2 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value513,013
Digit count6
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation513,013
Distinct prime factors1513,013
Number of divisors2
Sum of divisors σ(n)513,014
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)513,012integers below n that share no factor with it
Carmichael function λ(n)513,012the 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, 513,0132 in total
Arithmetic
Representations
Decimal513,013
Binary111110100111111010119 bits
Octal1751765
Hexadecimal7D3F5
Base 36AZUD
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfive hundred and thirteen thousand and thirteen
Ordinalfive hundred and thirteen thousand and thirteenth
Scientific notation5.13013 × 10^5
Engineering notation513.013 × 10^3
In other bases
Ternary222001201111base 3; the most digit-efficient integer base after e: 12 digits
Quinary112404023base 5; one hand: 9 digits
Septenary4234444base 7: 7 digits
Nonary861644base 9; each digit is two ternary digits: 6 digits
Duodecimal208a71base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal342adbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal2:22:30:13base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary100T01TT01111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001101010000110101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001111101001111110101
Bit length19 bitsto write the magnitude
Set bits14the population count, or Hamming weight
Zero bits5within that length
Bit parityeven14 set bits, so even; not the same as the number itself being odd
Highest set bitbit 18worth 262,144
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes307 d3 f5
Gray code1000011101000001111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001111101001111110101
64-bit0000000000000000000000000000000000000000000001111101001111110101
One's complement11111111111110000010110000001010at 32 bits, every bit flipped
Bits reversed10101111110010111110000000000000at 32 bits
Rotated left by 100000000000011111010011111101010at 32 bits, wrapping
Shifted left by 111111010011111101010= 1,026,026, no wrap
Shifted right by 1111110100111111010= 256,506, discarding the low bit
These bits as a double2.53462099 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
513,013 to the power 2263,182,338,169
513,013 to the power 3135,015,960,851,093,197
513,013 to the power 469,264,943,124,101,874,272,561
513,013 to the power 535,533,816,266,924,874,826,189,336,293
First ten multiples513,013, 1,026,026, 1,539,039, 2,052,052, 2,565,065, 3,078,078, 3,591,091, 4,104,104, 4,617,117, 5,130,130
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7No, remainder 4
Divisible by 8No, remainder 5
Divisible by 9No, remainder 4
Divisible by 10No, remainder 3
Divisible by 11No, remainder 6
Divisible by 12No, remainder 1
Divisible by 100No, remainder 13
Collatz (3n + 1) trajectory
Steps to reach 1102the total stopping time
Highest value reached1,539,0403× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps513,013 → 1,539,040 → 769,520 → 384,760 → 192,380 → 96,190 → 48,095 → 144,286 → 72,143 → 216,430 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage51,301,300%
513,013% as a decimal5,130.13
513,013% of 100513,013
513,013% of 1,0005,130,130
As a fraction of 100513,013/100
Read another way
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Derived from 513,013
Also reads as
#513013 (colour)
- #513013
- Orange
- Dark
- Nearest: Saddle brown
#513013 is a orange with RGB values 81, 48, 19 and HSL 28°, 62%, 20%. It is a dark colour, so white text on it reaches 11.8:1 contrast (AAA for normal text). The nearest named colour is Saddle brown.
Colour values
#513013#513013
HEX#513013
RGBrgb(81, 48, 19)
RGB (0–1)0.3176, 0.1882, 0.0745
RGB percentages31.8%, 18.8%, 7.5%
HSLhsl(28.1, 62%, 19.6%)
HSV / HSBhsv(28.1, 76.5%, 31.8%)
CMYK0%, 40.7%, 76.5%, 68.2%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer5,320,723
CSS custom property--colour: #513013;
Brightness & contrast
Relative luminance0.0391WCAG 2.x, 0 is black and 1 is white
Perceived brightness57.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.78:1
Contrast with white11.78:1WCAG normal text: AAA
Contrast with black1.78:1WCAG normal text: Fail
Greyscale equivalent#353535
Inverted#AECFEC
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text11.78:1WCAG large text: AAA
Contrast with black, large text1.78:1WCAG large text: Fail
Named colours
Hue familyorange
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#133451
Analogous#511315, #514F13
Triadic#135130, #301351
Split complementary#13514F, #131551
Tetradic#155113, #133451, #4F1351
Tints, shades & saturation
Channel breakdown
R81
G48
B19
Red81 (31.8%)
Green48 (18.8%)
Blue19 (7.5%)
Hue28.06°
Saturation (HSL)62%
Lightness19.61%
Dominant channelRed
Hex per channelR 51 · G 30 · B 13
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