Recognised as Number
-803
- Negative
- Odd
- 3 digits
-803 is an odd 3-digit integer and the negative of 803. It has 4 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value803
Digit count3
Digit sum11
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 11 × 73
Distinct prime factors211, 73
Number of divisors4
Sum of divisors σ(n)888
SquarefreeYesno repeated prime factor
All divisors1, 11, 73, 8034 in total
Arithmetic
Representations
Decimal-803
Binary110010001110 bits
Octal1443
Hexadecimal323
Base 36MB
In wordsminus eight hundred and three
Ordinalminus eight hundred and third
Scientific notation-8.03 × 10^2
Engineering notation-803
In other bases
Ternary1002202base 3; the most digit-efficient integer base after e: 7 digits
Quinary11203base 5; one hand: 5 digits
Septenary2225base 7: 4 digits
Nonary1082base 9; each digit is two ternary digits: 4 digits
Duodecimal56bbase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal203base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal13:23base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0T01T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100101101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110011011101
Bit length10 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits5within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 23
Gray code1010110010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110011011101two's complement
32-bit11111111111111111111110011011101two's complement
64-bit1111111111111111111111111111111111111111111111111111110011011101two's complement
One's complement0000001100100010at 16 bits, every bit flipped
Bits reversed1011101100111111at 16 bits
Rotated left by 11111100110111011at 16 bits, wrapping
Shifted left by 1-11001000110= -1,606, no wrap
Shifted right by 1-110010010= -401, discarding the low bit
These bits as a double3.96734714 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-803 to the power 2644,809
-803 to the power 3-517,781,627
-803 to the power 4415,778,646,481
-803 to the power 5-333,870,253,124,243
First ten multiples-803, -1,606, -2,409, -3,212, -4,015, -4,818, -5,621, -6,424, -7,227, -8,030
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 3
Divisible by 9No, remainder 2
Divisible by 10No, remainder 3
Divisible by 11Yes
Divisible by 12No, remainder 11
Divisible by 100No, remainder 3
As a percentage & fraction
As a percentage-80,300%
-803% as a decimal-8.03
-803% of 100-803
-803% of 1,000-8,030
As a fraction of 100-803/100
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