Recognised as Number
-876
- Negative
- Even
- 3 digits
-876 is an even 3-digit integer and the negative of 876. It has 12 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value876
Digit count3
Digit sum21
Digit product336
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 3 × 73
Distinct prime factors32, 3, 73
Number of divisors12
Sum of divisors σ(n)2,072
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 87612 in total
Arithmetic
Representations
Decimal-876
Binary110110110010 bits
Octal1554
Hexadecimal36C
Base 36OC
In wordsminus eight hundred and seventy-six
Ordinalminus eight hundred and seventy-sixth
Scientific notation-8.76 × 10^2
Engineering notation-876
In other bases
Ternary1012110base 3; the most digit-efficient integer base after e: 7 digits
Quinary12001base 5; one hand: 5 digits
Septenary2361base 7: 4 digits
Nonary1173base 9; each digit is two ternary digits: 4 digits
Duodecimal610base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal23gbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal14:36base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT11TT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110010100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110010010100
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 even
Highest set bitbit 9worth 512
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes203 6c
Gray code1011011010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110010010100two's complement
32-bit11111111111111111111110010010100two's complement
64-bit1111111111111111111111111111111111111111111111111111110010010100two's complement
One's complement0000001101101011at 16 bits, every bit flipped
Bits reversed0010100100111111at 16 bits
Rotated left by 11111100100101001at 16 bits, wrapping
Shifted left by 1-11011011000= -1,752, no wrap
Shifted right by 1-110110110= -438, discarding the low bit
These bits as a double4.32801506 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-876 to the power 2767,376
-876 to the power 3-672,221,376
-876 to the power 4588,865,925,376
-876 to the power 5-515,846,550,629,376
First ten multiples-876, -1,752, -2,628, -3,504, -4,380, -5,256, -6,132, -7,008, -7,884, -8,760
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 1
Divisible by 6Yes
Divisible by 7No, remainder 1
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 6
Divisible by 11No, remainder 7
Divisible by 12Yes
Divisible by 100No, remainder 76
As a percentage & fraction
As a percentage-87,600%
-876% as a decimal-8.76
-876% of 100-876
-876% of 1,000-8,760
As a fraction of 100-876/100
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