Recognised as Number
5,013
- Positive
- Odd
- Composite
- 4 digits
5,013 is an odd 4-digit integer and a composite number. It has 6 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value5,013
Digit count4
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
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation3^2 × 557
Distinct prime factors23, 557
Number of divisors6
Sum of divisors σ(n)7,254
Aliquot sum2,241sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)3,336integers below n that share no factor with it
Carmichael function λ(n)1,668the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 3,336
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 557, 1,671, 5,0136 in total
Arithmetic
Previous number5,012
Next number5,014
Double10,026
Half2,506.5
Square25,130,169
Cube125,977,537,197
Square root70.802542327≈irrational, shown to 9 decimal places
Cube root17.114566433≈
Negation-5,013
Reciprocal0.0001994813≈
Representations
Decimal5,013
Binary100111001010113 bits
Octal11625
Hexadecimal1395
Base 363V9
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfive thousand and thirteen
Ordinalfive thousand and thirteenth
Scientific notation5.013 × 10^3
Engineering notation5.013 × 10^3
In other bases
Ternary20212200base 3; the most digit-efficient integer base after e: 8 digits
Quinary130023base 5; one hand: 6 digits
Septenary20421base 7: 5 digits
Nonary6780base 9; each digit is two ternary digits: 4 digits
Duodecimal2a99base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalcadbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:23:33base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T10T0T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010010010101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001001110010101
Bit length13 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits6within that length
Bit parityodd7 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
Bytes213 95
Gray code1101001011111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001001110010101
32-bit00000000000000000001001110010101
64-bit0000000000000000000000000000000000000000000000000001001110010101
One's complement1110110001101010at 16 bits, every bit flipped
Bits reversed1010100111001000at 16 bits
Rotated left by 10010011100101010at 16 bits, wrapping
Shifted left by 110011100101010= 10,026, no wrap
Shifted right by 1100111001010= 2,506, discarding the low bit
These bits as a double2.47675108 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
5,013 to the power 225,130,169
5,013 to the power 3125,977,537,197
5,013 to the power 4631,525,393,968,561
5,013 to the power 53,165,836,799,964,396,293
First ten multiples5,013, 10,026, 15,039, 20,052, 25,065, 30,078, 35,091, 40,104, 45,117, 50,130
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 3
Divisible by 7No, remainder 1
Divisible by 8No, remainder 5
Divisible by 9Yes
Divisible by 10No, remainder 3
Divisible by 11No, remainder 8
Divisible by 12No, remainder 9
Divisible by 100No, remainder 13
Collatz (3n + 1) trajectory
Steps to reach 1134the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps5,013 → 15,040 → 7,520 → 3,760 → 1,880 → 940 → 470 → 235 → 706 → 353 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage501,300%
5,013% as a decimal50.13
5,013% of 1005,013
5,013% of 1,00050,130
As a fraction of 1005,013/100
Read another way
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Derived from 5,013
Also reads as
5013 (year)
- Common year
- 365 days
- 51st century
- Snake
5013 will be a common year of 365 days. It begins on a Friday and ends on a Friday. Easter Sunday falls on 4 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Friday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays53one of the extras
Saturdays52
Friday the 13th1 of them13 August
ISO weeks52an ordinary 52-week year
Same calendar as5002the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in5019, 5030, 50416 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 5013
January31 days, starts Friday
February28 days, starts Monday
August31 days, starts Sunday
September30 days, starts Wednesday
October31 days, starts Friday
November30 days, starts Monday
December31 days, starts Wednesday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start96,027,811,200
Unix timestamp at the end96,059,347,199
Years from now2,987 years from now
Days from today1,090,722 days to 1 January
The number 5013
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Also reads as
#550011 (colour)
- #550011
- Red
- Dark
- Nearest: Maroon
#550011 is a red with RGB values 85, 0, 17 and HSL 348°, 100%, 17%. It is a dark colour, so white text on it reaches 15.1:1 contrast (AAA for normal text). The nearest named colour is Maroon.
Colour values
#550011#550011
HEX#550011
HEX (short)#501
RGBrgb(85, 0, 17)
RGB (0–1)0.3333, 0, 0.0667
RGB percentages33.3%, 0%, 6.7%
HSLhsl(348, 100%, 16.7%)
HSV / HSBhsv(348, 100%, 33.3%)
CMYK0%, 100%, 80%, 66.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer5,570,577
CSS custom property--colour: #550011;
Brightness & contrast
Relative luminance0.01972WCAG 2.x, 0 is black and 1 is white
Perceived brightness46.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.06:1
Contrast with white15.06:1WCAG normal text: AAA
Contrast with black1.39:1WCAG normal text: Fail
Greyscale equivalent#131313
Inverted#AAFFEE
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text15.06:1WCAG large text: AAA
Contrast with black, large text1.39:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#005544
Analogous#55003C, #551900
Triadic#115500, #001155
Split complementary#005519, #003C55
Tetradic#3B5500, #005544, #190055
Tints, shades & saturation
Channel breakdown
R85
G0
B17
Red85 (33.3%)
Green0 (0%)
Blue17 (6.7%)
Hue348°
Saturation (HSL)100%
Lightness16.67%
Dominant channelRed
Hex per channelR 55 · G 00 · B 11
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