Recognised as Number
-918
- Negative
- Even
- 3 digits
-918 is an even 3-digit integer and the negative of 918. It has 16 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value918
Digit count3
Digit sum18
Digit product72
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 3^3 × 17
Distinct prime factors32, 3, 17
Number of divisors16
Sum of divisors σ(n)2,160
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 91816 in total
Arithmetic
Representations
Decimal-918
Binary111001011010 bits
Octal1626
Hexadecimal396
Base 36PI
In wordsminus nine hundred and eighteen
Ordinalminus nine hundred and eighteenth
Scientific notation-9.18 × 10^2
Engineering notation-918
In other bases
Ternary1021000base 3; the most digit-efficient integer base after e: 7 digits
Quinary12133base 5; one hand: 5 digits
Septenary2451base 7: 4 digits
Nonary1230base 9; each digit is two ternary digits: 4 digits
Duodecimal646base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal25ibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal15:18base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT1T000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110111110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110001101010
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 11 trailing zero
Power of twoNo
Bytes203 96
Gray code1001011101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110001101010two's complement
32-bit11111111111111111111110001101010two's complement
64-bit1111111111111111111111111111111111111111111111111111110001101010two's complement
One's complement0000001110010101at 16 bits, every bit flipped
Bits reversed0101011000111111at 16 bits
Rotated left by 11111100011010101at 16 bits, wrapping
Shifted left by 1-11100101100= -1,836, no wrap
Shifted right by 1-111001011= -459, discarding the low bit
These bits as a double4.53552263 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-918 to the power 2842,724
-918 to the power 3-773,620,632
-918 to the power 4710,183,740,176
-918 to the power 5-651,948,673,481,568
First ten multiples-918, -1,836, -2,754, -3,672, -4,590, -5,508, -6,426, -7,344, -8,262, -9,180
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7No, remainder 1
Divisible by 8No, remainder 6
Divisible by 9Yes
Divisible by 10No, remainder 8
Divisible by 11No, remainder 5
Divisible by 12No, remainder 6
Divisible by 100No, remainder 18
As a percentage & fraction
As a percentage-91,800%
-918% as a decimal-9.18
-918% of 100-918
-918% of 1,000-9,180
As a fraction of 100-918/100
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