Recognised as Number
-125
- Negative
- Odd
- Perfect cube
- 3 digits
-125 is an odd 3-digit integer and the negative of 125. It has 4 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value125
Digit count3
Digit sum8
Digit product10
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Perfect cubeYes, -5³
Factors & divisors
Prime factorisation−1 × 5^3
Distinct prime factors15
Number of divisors4
Sum of divisors σ(n)156
SquarefreeNohas a repeated prime factor
All divisors1, 5, 25, 1254 in total
Arithmetic
Representations
Decimal-125
Binary11111017 bits
Octal175
Hexadecimal7D
Base 363H
In wordsminus one hundred and twenty-five
Ordinalminus one hundred and twenty-fifth
Scientific notation-1.25 × 10^2
Engineering notation-125
In other bases
Ternary11122base 3; the most digit-efficient integer base after e: 5 digits
Quinary1000base 5; one hand: 4 digits
Septenary236base 7: 3 digits
Nonary148base 9; each digit is two ternary digits: 3 digits
Duodecimala5base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal65base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal2:5base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT11101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10000111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
10000011
Bit length7 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits1within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 6worth 64
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes17d
Gray code1000011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit10000011two's complement
16-bit1111111110000011two's complement
32-bit11111111111111111111111110000011two's complement
64-bit1111111111111111111111111111111111111111111111111111111110000011two's complement
One's complement01111100at 8 bits, every bit flipped
Bits reversed11000001at 8 bits
Rotated left by 100000111at 8 bits, wrapping
Shifted left by 1-11111010= -250, no wrap
Shifted right by 1-111111= -62, discarding the low bit
These bits as a double6.17582057 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-125 to the power 215,625
-125 to the power 3-1,953,125
-125 to the power 4244,140,625
-125 to the power 5-30,517,578,125
First ten multiples-125, -250, -375, -500, -625, -750, -875, -1,000, -1,125, -1,250
Powers of twoBetween 2^6 (64) and 2^7 (128)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5Yes
Divisible by 6No, remainder 5
Divisible by 7No, remainder 6
Divisible by 8No, remainder 5
Divisible by 9No, remainder 8
Divisible by 10No, remainder 5
Divisible by 11No, remainder 4
Divisible by 12No, remainder 5
Divisible by 100No, remainder 25
As a percentage & fraction
As a percentage-12,500%
-125% as a decimal-1.25
-125% of 100-125
-125% of 1,000-1,250
As a fraction of 100-125/100
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