Recognised as Number
-804
- Negative
- Even
- 3 digits
-804 is an even 3-digit integer and the negative of 804. It has 12 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value804
Digit count3
Digit sum12
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times 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 × 67
Distinct prime factors32, 3, 67
Number of divisors12
Sum of divisors σ(n)1,904
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 80412 in total
Arithmetic
Representations
Decimal-804
Binary110010010010 bits
Octal1444
Hexadecimal324
Base 36MC
In wordsminus eight hundred and four
Ordinalminus eight hundred and fourth
Scientific notation-8.04 × 10^2
Engineering notation-804
In other bases
Ternary1002210base 3; the most digit-efficient integer base after e: 7 digits
Quinary11204base 5; one hand: 5 digits
Septenary2226base 7: 4 digits
Nonary1083base 9; each digit is two ternary digits: 4 digits
Duodecimal570base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal204base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal13:24base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0T01T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110011011100
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 22 trailing zeros
Power of twoNo
Bytes203 24
Gray code1010110110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110011011100two's complement
32-bit11111111111111111111110011011100two's complement
64-bit1111111111111111111111111111111111111111111111111111110011011100two's complement
One's complement0000001100100011at 16 bits, every bit flipped
Bits reversed0011101100111111at 16 bits
Rotated left by 11111100110111001at 16 bits, wrapping
Shifted left by 1-11001001000= -1,608, no wrap
Shifted right by 1-110010010= -402, discarding the low bit
These bits as a double3.97228779 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-804 to the power 2646,416
-804 to the power 3-519,718,464
-804 to the power 4417,853,645,056
-804 to the power 5-335,954,330,625,024
First ten multiples-804, -1,608, -2,412, -3,216, -4,020, -4,824, -5,628, -6,432, -7,236, -8,040
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 4
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 4
Divisible by 11No, remainder 1
Divisible by 12Yes
Divisible by 100No, remainder 4
As a percentage & fraction
As a percentage-80,400%
-804% as a decimal-8.04
-804% of 100-804
-804% of 1,000-8,040
As a fraction of 100-804/100
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