Recognised as Number
-1,318
- Negative
- Even
- 4 digits
-1,318 is an even 4-digit integer and the negative of 1,318. It has 4 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,318
Digit count4
Digit sum13
Digit product24
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 659
Distinct prime factors22, 659
Number of divisors4
Sum of divisors σ(n)1,980
SquarefreeYesno repeated prime factor
All divisors1, 2, 659, 1,3184 in total
Arithmetic
Representations
Decimal-1,318
Binary1010010011011 bits
Octal2446
Hexadecimal526
Base 3610M
In wordsminus one thousand, three hundred and eighteen
Ordinalminus one thousand, three hundred and eighteenth
Scientific notation-1.318 × 10^3
Engineering notation-1.318 × 10^3
In other bases
Ternary1210211base 3; the most digit-efficient integer base after e: 7 digits
Quinary20233base 5; one hand: 5 digits
Septenary3562base 7: 4 digits
Nonary1724base 9; each digit is two ternary digits: 4 digits
Duodecimal91abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal35ibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal21:58base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT11TT1TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111100101110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101011011010
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes205 26
Gray code11110110101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101011011010two's complement
32-bit11111111111111111111101011011010two's complement
64-bit1111111111111111111111111111111111111111111111111111101011011010two's complement
One's complement0000010100100101at 16 bits, every bit flipped
Bits reversed0101101101011111at 16 bits
Rotated left by 11111010110110101at 16 bits, wrapping
Shifted left by 1-101001001100= -2,636, no wrap
Shifted right by 1-1010010011= -659, discarding the low bit
These bits as a double6.51178521 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,318 to the power 21,737,124
-1,318 to the power 3-2,289,529,432
-1,318 to the power 43,017,599,791,376
-1,318 to the power 5-3,977,196,525,033,568
First ten multiples-1,318, -2,636, -3,954, -5,272, -6,590, -7,908, -9,226, -10,544, -11,862, -13,180
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 2
Divisible by 8No, remainder 6
Divisible by 9No, remainder 4
Divisible by 10No, remainder 8
Divisible by 11No, remainder 9
Divisible by 12No, remainder 10
Divisible by 100No, remainder 18
As a percentage & fraction
As a percentage-131,800%
-1,318% as a decimal-13.18
-1,318% of 100-1,318
-1,318% of 1,000-13,180
As a fraction of 100-1,318/100
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