Recognised as Number
5,513
- Positive
- Odd
- Composite
- 4 digits
5,513 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value5,513
Digit count4
Digit sum14
Digit product75
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation37 × 149
Distinct prime factors237, 149
Number of divisors4
Sum of divisors σ(n)5,700
Aliquot sum187sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)5,328integers below n that share no factor with it
Carmichael function λ(n)1,332the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 5,328
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 37, 149, 5,5134 in total
Arithmetic
Previous number5,512
Next number5,514
Double11,026
Half2,756.5
Square30,393,169
Cube167,557,540,697
Square root74.249579123≈irrational, shown to 9 decimal places
Cube root17.665638166≈
Negation-5,513
Reciprocal0.0001813894≈
Representations
Decimal5,513
Binary101011000100113 bits
Octal12611
Hexadecimal1589
Base 36495
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfive thousand, five hundred and thirteen
Ordinalfive thousand, five hundred and thirteenth
Scientific notation5.513 × 10^3
Engineering notation5.513 × 10^3
In other bases
Ternary21120012base 3; the most digit-efficient integer base after e: 8 digits
Quinary134023base 5; one hand: 6 digits
Septenary22034base 7: 5 digits
Nonary7505base 9; each digit is two ternary digits: 4 digits
Duodecimal3235base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimaldfdbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:31:53base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary10TTT01TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110101010011001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001010110001001
Bit length13 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits7within that length
Bit parityeven6 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
Bytes215 89
Gray code1111101001101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001010110001001
32-bit00000000000000000001010110001001
64-bit0000000000000000000000000000000000000000000000000001010110001001
One's complement1110101001110110at 16 bits, every bit flipped
Bits reversed1001000110101000at 16 bits
Rotated left by 10010101100010010at 16 bits, wrapping
Shifted left by 110101100010010= 11,026, no wrap
Shifted right by 1101011000100= 2,756, discarding the low bit
These bits as a double2.72378391 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
5,513 to the power 230,393,169
5,513 to the power 3167,557,540,697
5,513 to the power 4923,744,721,862,561
5,513 to the power 55,092,604,651,628,298,793
First ten multiples5,513, 11,026, 16,539, 22,052, 27,565, 33,078, 38,591, 44,104, 49,617, 55,130
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 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 4
Divisible by 8No, remainder 1
Divisible by 9No, remainder 5
Divisible by 10No, remainder 3
Divisible by 11No, remainder 2
Divisible by 12No, remainder 5
Divisible by 100No, remainder 13
Collatz (3n + 1) trajectory
Steps to reach 198the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps5,513 → 16,540 → 8,270 → 4,135 → 12,406 → 6,203 → 18,610 → 9,305 → 27,916 → 13,958 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage551,300%
5,513% as a decimal55.13
5,513% of 1005,513
5,513% of 1,00055,130
As a fraction of 1005,513/100
Read another way
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Derived from 5,513
Also reads as
5513 (year)
- Common year
- 365 days
- 56th century
- Ox
5513 will be a common year of 365 days. It begins on a Wednesday and ends on a Wednesday. Easter Sunday falls on 30 March.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Wednesday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays53one of the extras
Thursdays52
Fridays52
Saturdays52
Friday the 13th1 of them13 June
ISO weeks52an ordinary 52-week year
Same calendar as5502the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in5519, 5530, 55416 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 5513
January31 days, starts Wednesday
February28 days, starts Saturday
August31 days, starts Friday
September30 days, starts Monday
October31 days, starts Wednesday
November30 days, starts Saturday
December31 days, starts Monday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start111,806,265,600
Unix timestamp at the end111,837,801,599
Years from now3,487 years from now
Days from today1,273,337 days to 1 January
The number 5513
As a number5,513
In wordsfive thousand, five hundred and thirteen
Roman numeralsNot defined above 3,999
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Also reads as
#555511 (colour)
- #555511
- Yellow
- Dark
- Nearest: Dark olivegreen
#555511 is a yellow with RGB values 85, 85, 17 and HSL 60°, 67%, 20%. It is a dark colour, so white text on it reaches 7.8:1 contrast (AAA for normal text). The nearest named colour is Dark olivegreen.
Colour values
#555511#555511
HEX#555511
HEX (short)#551
RGBrgb(85, 85, 17)
RGB (0–1)0.3333, 0.3333, 0.0667
RGB percentages33.3%, 33.3%, 6.7%
HSLhsl(60, 66.7%, 20%)
HSV / HSBhsv(60, 80%, 33.3%)
CMYK0%, 0%, 80%, 66.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer5,592,337
CSS custom property--colour: #555511;
Brightness & contrast
Relative luminance0.08469WCAG 2.x, 0 is black and 1 is white
Perceived brightness80.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 7.8:1
Contrast with white7.8:1WCAG normal text: AAA
Contrast with black2.69:1WCAG normal text: Fail
Greyscale equivalent#505050
Inverted#AAAAEE
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text7.8:1WCAG large text: AAA
Contrast with black, large text2.69:1WCAG large text: Fail
Named colours
Hue familyyellow
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#111155
Analogous#553311, #335511
Triadic#115555, #551155
Split complementary#113355, #331155
Tetradic#115533, #111155, #551133
Tints, shades & saturation
Channel breakdown
R85
G85
B17
Red85 (33.3%)
Green85 (33.3%)
Blue17 (6.7%)
Hue60°
Saturation (HSL)66.67%
Lightness20%
Dominant channelRed and Green
Hex per channelR 55 · G 55 · B 11
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Harmonies
Similar named colours
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