Recognised as Number
-825
- Negative
- Odd
- 3 digits
-825 is an odd 3-digit integer and the negative of 825. It has 12 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value825
Digit count3
Digit sum15
Digit product80
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 5^2 × 11
Distinct prime factors33, 5, 11
Number of divisors12
Sum of divisors σ(n)1,488
SquarefreeNohas a repeated prime factor
All divisors1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 82512 in total
Arithmetic
Representations
Decimal-825
Binary110011100110 bits
Octal1471
Hexadecimal339
Base 36MX
In wordsminus eight hundred and twenty-five
Ordinalminus eight hundred and twenty-fifth
Scientific notation-8.25 × 10^2
Engineering notation-825
In other bases
Ternary1010120base 3; the most digit-efficient integer base after e: 7 digits
Quinary11300base 5; one hand: 5 digits
Septenary2256base 7: 4 digits
Nonary1116base 9; each digit is two ternary digits: 4 digits
Duodecimal589base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal215base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal13:45base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0TT110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111011011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110011000111
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 39
Gray code1010100101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110011000111two's complement
32-bit11111111111111111111110011000111two's complement
64-bit1111111111111111111111111111111111111111111111111111110011000111two's complement
One's complement0000001100111000at 16 bits, every bit flipped
Bits reversed1110001100111111at 16 bits
Rotated left by 11111100110001111at 16 bits, wrapping
Shifted left by 1-11001110010= -1,650, no wrap
Shifted right by 1-110011101= -412, discarding the low bit
These bits as a double4.07604158 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-825 to the power 2680,625
-825 to the power 3-561,515,625
-825 to the power 4463,250,390,625
-825 to the power 5-382,181,572,265,625
First ten multiples-825, -1,650, -2,475, -3,300, -4,125, -4,950, -5,775, -6,600, -7,425, -8,250
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 5Yes
Divisible by 6No, remainder 3
Divisible by 7No, remainder 6
Divisible by 8No, remainder 1
Divisible by 9No, remainder 6
Divisible by 10No, remainder 5
Divisible by 11Yes
Divisible by 12No, remainder 9
Divisible by 100No, remainder 25
As a percentage & fraction
As a percentage-82,500%
-825% as a decimal-8.25
-825% of 100-825
-825% of 1,000-8,250
As a fraction of 100-825/100
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