Recognised as Number
513,313
- Positive
- Odd
- Prime
- 6 digits
513,313 is an odd 6-digit integer and a prime number. It has 2 divisors and a digital root of 7.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value513,313
Digit count6
Digit sum16
Digit product135
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 factorisation513,313
Distinct prime factors1513,313
Number of divisors2
Sum of divisors σ(n)513,314
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)513,312integers below n that share no factor with it
Carmichael function λ(n)513,312the 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, 513,3132 in total
Arithmetic
Representations
Decimal513,313
Binary111110101010010000119 bits
Octal1752441
Hexadecimal7D521
Base 36B02P
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfive hundred and thirteen thousand, three hundred and thirteen
Ordinalfive hundred and thirteen thousand, three hundred and thirteenth
Scientific notation5.13313 × 10^5
Engineering notation513.313 × 10^3
In other bases
Ternary222002010121base 3; the most digit-efficient integer base after e: 12 digits
Quinary112411223base 5; one hand: 9 digits
Septenary4235353base 7: 7 digits
Nonary862117base 9; each digit is two ternary digits: 6 digits
Duodecimal209081base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal3435dbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal2:22:35:13base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary100T01T011TT1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001101010101100001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001111101010100100001
Bit length19 bitsto write the magnitude
Set bits10the population count, or Hamming weight
Zero bits9within that length
Bit parityeven10 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 d5 21
Gray code1000011111110110001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001111101010100100001
64-bit0000000000000000000000000000000000000000000001111101010100100001
One's complement11111111111110000010101011011110at 32 bits, every bit flipped
Bits reversed10000100101010111110000000000000at 32 bits
Rotated left by 100000000000011111010101001000010at 32 bits, wrapping
Shifted left by 111111010101001000010= 1,026,626, no wrap
Shifted right by 1111110101010010000= 256,656, discarding the low bit
These bits as a double2.53610319 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
513,313 to the power 2263,490,235,969
513,313 to the power 3135,252,963,495,955,297
513,313 to the power 469,427,104,450,999,301,368,961
513,313 to the power 535,637,835,267,055,804,383,605,477,793
First ten multiples513,313, 1,026,626, 1,539,939, 2,053,252, 2,566,565, 3,079,878, 3,593,191, 4,106,504, 4,619,817, 5,133,130
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 3
Divisible by 8No, remainder 1
Divisible by 9No, remainder 7
Divisible by 10No, remainder 3
Divisible by 11No, remainder 9
Divisible by 12No, remainder 1
Divisible by 100No, remainder 13
Collatz (3n + 1) trajectory
Steps to reach 1164the total stopping time
Highest value reached1,539,9403× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps513,313 → 1,539,940 → 769,970 → 384,985 → 1,154,956 → 577,478 → 288,739 → 866,218 → 433,109 → 1,299,328 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage51,331,300%
513,313% as a decimal5,133.13
513,313% of 100513,313
513,313% of 1,0005,133,130
As a fraction of 100513,313/100
Read another way
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Derived from 513,313
Also reads as
#513313 (colour)
- #513313
- Orange
- Dark
- Nearest: Saddle brown
#513313 is a orange with RGB values 81, 51, 19 and HSL 31°, 62%, 20%. It is a dark colour, so white text on it reaches 11.5:1 contrast (AAA for normal text). The nearest named colour is Saddle brown.
Colour values
#513313#513313
HEX#513313
RGBrgb(81, 51, 19)
RGB (0–1)0.3176, 0.2, 0.0745
RGB percentages31.8%, 20%, 7.5%
HSLhsl(31, 62%, 19.6%)
HSV / HSBhsv(31, 76.5%, 31.8%)
CMYK0%, 37%, 76.5%, 68.2%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer5,321,491
CSS custom property--colour: #513313;
Brightness & contrast
Relative luminance0.04164WCAG 2.x, 0 is black and 1 is white
Perceived brightness59.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.46:1
Contrast with white11.46:1WCAG normal text: AAA
Contrast with black1.83:1WCAG normal text: Fail
Greyscale equivalent#373737
Inverted#AECCEC
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text11.46:1WCAG large text: AAA
Contrast with black, large text1.83:1WCAG large text: Fail
Named colours
Hue familyorange
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#133151
Analogous#511413, #505113
Triadic#135133, #331351
Split complementary#135051, #141351
Tetradic#135114, #133151, #511350
Tints, shades & saturation
Channel breakdown
R81
G51
B19
Red81 (31.8%)
Green51 (20%)
Blue19 (7.5%)
Hue30.97°
Saturation (HSL)62%
Lightness19.61%
Dominant channelRed
Hex per channelR 51 · G 33 · B 13
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Harmonies
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