Recognised as Number
-823
- Negative
- Odd
- 3 digits
-823 is an odd 3-digit integer and the negative of 823. It has 2 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value823
Digit count3
Digit sum13
Digit product48
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 823
Distinct prime factors1823
Number of divisors2
Sum of divisors σ(n)824
SquarefreeYesno repeated prime factor
All divisors1, 8232 in total
Arithmetic
Representations
Decimal-823
Binary110011011110 bits
Octal1467
Hexadecimal337
Base 36MV
In wordsminus eight hundred and twenty-three
Ordinalminus eight hundred and twenty-third
Scientific notation-8.23 × 10^2
Engineering notation-823
In other bases
Ternary1010111base 3; the most digit-efficient integer base after e: 7 digits
Quinary11243base 5; one hand: 5 digits
Septenary2254base 7: 4 digits
Nonary1114base 9; each digit is two ternary digits: 4 digits
Duodecimal587base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal213base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal13:43base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0T0TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111011001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110011001001
Bit length10 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits3within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 37
Gray code1010101100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110011001001two's complement
32-bit11111111111111111111110011001001two's complement
64-bit1111111111111111111111111111111111111111111111111111110011001001two's complement
One's complement0000001100110110at 16 bits, every bit flipped
Bits reversed1001001100111111at 16 bits
Rotated left by 11111100110010011at 16 bits, wrapping
Shifted left by 1-11001101110= -1,646, no wrap
Shifted right by 1-110011100= -411, discarding the low bit
These bits as a double4.06616027 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-823 to the power 2677,329
-823 to the power 3-557,441,767
-823 to the power 4458,774,574,241
-823 to the power 5-377,571,474,600,343
First ten multiples-823, -1,646, -2,469, -3,292, -4,115, -4,938, -5,761, -6,584, -7,407, -8,230
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7No, remainder 4
Divisible by 8No, remainder 7
Divisible by 9No, remainder 4
Divisible by 10No, remainder 3
Divisible by 11No, remainder 9
Divisible by 12No, remainder 7
Divisible by 100No, remainder 23
As a percentage & fraction
As a percentage-82,300%
-823% as a decimal-8.23
-823% of 100-823
-823% of 1,000-8,230
As a fraction of 100-823/100
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