Recognised as Number
-813
- Negative
- Odd
- 3 digits
-813 is an odd 3-digit integer and the negative of 813. It has 4 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value813
Digit count3
Digit sum12
Digit product24
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 271
Distinct prime factors23, 271
Number of divisors4
Sum of divisors σ(n)1,088
SquarefreeYesno repeated prime factor
All divisors1, 3, 271, 8134 in total
Arithmetic
Representations
Decimal-813
Binary110010110110 bits
Octal1455
Hexadecimal32D
Base 36ML
In wordsminus eight hundred and thirteen
Ordinalminus eight hundred and thirteenth
Scientific notation-8.13 × 10^2
Engineering notation-813
In other bases
Ternary1010010base 3; the most digit-efficient integer base after e: 7 digits
Quinary11223base 5; one hand: 5 digits
Septenary2241base 7: 4 digits
Nonary1103base 9; each digit is two ternary digits: 4 digits
Duodecimal579base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal20dbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal13:33base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0T00T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111010111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110011010011
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 2d
Gray code1010111011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110011010011two's complement
32-bit11111111111111111111110011010011two's complement
64-bit1111111111111111111111111111111111111111111111111111110011010011two's complement
One's complement0000001100101100at 16 bits, every bit flipped
Bits reversed1100101100111111at 16 bits
Rotated left by 11111100110100111at 16 bits, wrapping
Shifted left by 1-11001011010= -1,626, no wrap
Shifted right by 1-110010111= -406, discarding the low bit
These bits as a double4.0167537 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-813 to the power 2660,969
-813 to the power 3-537,367,797
-813 to the power 4436,880,018,961
-813 to the power 5-355,183,455,415,293
First ten multiples-813, -1,626, -2,439, -3,252, -4,065, -4,878, -5,691, -6,504, -7,317, -8,130
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
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 9No, remainder 3
Divisible by 10No, remainder 3
Divisible by 11No, remainder 10
Divisible by 12No, remainder 9
Divisible by 100No, remainder 13
As a percentage & fraction
As a percentage-81,300%
-813% as a decimal-8.13
-813% of 100-813
-813% of 1,000-8,130
As a fraction of 100-813/100
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