Recognised as Number
-317
- Negative
- Odd
- 3 digits
-317 is an odd 3-digit integer and the negative of 317. It has 2 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value317
Digit count3
Digit sum11
Digit product21
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 317
Distinct prime factors1317
Number of divisors2
Sum of divisors σ(n)318
SquarefreeYesno repeated prime factor
All divisors1, 3172 in total
Arithmetic
Representations
Decimal-317
Binary1001111019 bits
Octal475
Hexadecimal13D
Base 368T
In wordsminus three hundred and seventeen
Ordinalminus three hundred and seventeenth
Scientific notation-3.17 × 10^2
Engineering notation-317
In other bases
Ternary102202base 3; the most digit-efficient integer base after e — 6 digits
Quinary2232base 5; one hand — 4 digits
Septenary632base 7 — 3 digits
Nonary382base 9; each digit is two ternary digits — 3 digits
Duodecimal225base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 3 digits
Vigesimalfhbase 20; hands and feet, and the Mayan and Yoruba systems — 2 digits
Sexagesimal5:17base 60; Babylonian, and still how an hour and a circle are divided — 2 digits
Balanced ternaryTT01T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111000111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111011000011
Bit length9 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits3within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 3d
Gray code110100011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111011000011two's complement
32-bit11111111111111111111111011000011two's complement
64-bit1111111111111111111111111111111111111111111111111111111011000011two's complement
One's complement0000000100111100at 16 bits, every bit flipped
Bits reversed1100001101111111at 16 bits
Rotated left by 11111110110000111at 16 bits, wrapping
Shifted left by 1-1001111010= -634, no wrap
Shifted right by 1-10011111= -158, discarding the low bit
These bits as a double1.5661881 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-317 to the power 2100,489
-317 to the power 3-31,855,013
-317 to the power 410,098,039,121
-317 to the power 5-3,201,078,401,357
First ten multiples-317, -634, -951, -1,268, -1,585, -1,902, -2,219, -2,536, -2,853, -3,170
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 2
Divisible by 8No, remainder 5
Divisible by 9No, remainder 2
Divisible by 10No, remainder 7
Divisible by 11No, remainder 9
Divisible by 12No, remainder 5
Divisible by 100No, remainder 17
As a percentage & fraction
As a percentage-31,700%
-317% as a decimal-3.17
-317% of 100-317
-317% of 1,000-3,170
As a fraction of 100-317/100
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