Recognised as Number
-253
- Negative
- Odd
- 3 digits
-253 is an odd 3-digit integer and the negative of 253. It has 4 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value253
Digit count3
Digit sum10
Digit product30
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 11 × 23
Distinct prime factors211, 23
Number of divisors4
Sum of divisors σ(n)288
SquarefreeYesno repeated prime factor
All divisors1, 11, 23, 2534 in total
Arithmetic
Representations
Decimal-253
Binary111111018 bits
Octal375
HexadecimalFD
Base 3671
In wordsminus two hundred and fifty-three
Ordinalminus two hundred and fifty-third
Scientific notation-2.53 × 10^2
Engineering notation-253
In other bases
Ternary100101base 3; the most digit-efficient integer base after e: 6 digits
Quinary2003base 5; one hand: 4 digits
Septenary511base 7: 3 digits
Nonary311base 9; each digit is two ternary digits: 3 digits
Duodecimal191base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalcdbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal4:13base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT00T0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100000111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111100000011
Bit length8 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits1within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 7worth 128
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes1fd
Gray code10000011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111100000011two's complement
32-bit11111111111111111111111100000011two's complement
64-bit1111111111111111111111111111111111111111111111111111111100000011two's complement
One's complement0000000011111100at 16 bits, every bit flipped
Bits reversed1100000011111111at 16 bits
Rotated left by 11111111000000111at 16 bits, wrapping
Shifted left by 1-111111010= -506, no wrap
Shifted right by 1-1111111= -126, discarding the low bit
These bits as a double1.24998608 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-253 to the power 264,009
-253 to the power 3-16,194,277
-253 to the power 44,097,152,081
-253 to the power 5-1,036,579,476,493
First ten multiples-253, -506, -759, -1,012, -1,265, -1,518, -1,771, -2,024, -2,277, -2,530
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7No, remainder 1
Divisible by 8No, remainder 5
Divisible by 9No, remainder 1
Divisible by 10No, remainder 3
Divisible by 11Yes
Divisible by 12No, remainder 1
Divisible by 100No, remainder 53
As a percentage & fraction
As a percentage-25,300%
-253% as a decimal-2.53
-253% of 100-253
-253% of 1,000-2,530
As a fraction of 100-253/100
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