Recognised as Number
-904
- Negative
- Even
- 3 digits
-904 is an even 3-digit integer and the negative of 904. It has 8 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value904
Digit count3
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^3 × 113
Distinct prime factors22, 113
Number of divisors8
Sum of divisors σ(n)1,710
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 113, 226, 452, 9048 in total
Arithmetic
Representations
Decimal-904
Binary111000100010 bits
Octal1610
Hexadecimal388
Base 36P4
In wordsminus nine hundred and four
Ordinalminus nine hundred and fourth
Scientific notation-9.04 × 10^2
Engineering notation-904
In other bases
Ternary1020111base 3; the most digit-efficient integer base after e: 7 digits
Quinary12104base 5; one hand: 5 digits
Septenary2431base 7: 4 digits
Nonary1214base 9; each digit is two ternary digits: 4 digits
Duodecimal634base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal254base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal15:4base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT10TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110001000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110001111000
Bit length10 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits6within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes203 88
Gray code1001001100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110001111000two's complement
32-bit11111111111111111111110001111000two's complement
64-bit1111111111111111111111111111111111111111111111111111110001111000two's complement
One's complement0000001110000111at 16 bits, every bit flipped
Bits reversed0001111000111111at 16 bits
Rotated left by 11111100011110001at 16 bits, wrapping
Shifted left by 1-11100010000= -1,808, no wrap
Shifted right by 1-111000100= -452, discarding the low bit
These bits as a double4.46635344 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-904 to the power 2817,216
-904 to the power 3-738,763,264
-904 to the power 4667,841,990,656
-904 to the power 5-603,729,159,553,024
First ten multiples-904, -1,808, -2,712, -3,616, -4,520, -5,424, -6,328, -7,232, -8,136, -9,040
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 4
Divisible by 7No, remainder 1
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10No, remainder 4
Divisible by 11No, remainder 2
Divisible by 12No, remainder 4
Divisible by 100No, remainder 4
As a percentage & fraction
As a percentage-90,400%
-904% as a decimal-9.04
-904% of 100-904
-904% of 1,000-9,040
As a fraction of 100-904/100
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