Recognised as Number
-55
- Negative
- Odd
- 2 digits
-55 is an odd 2-digit integer and the negative of 55. It has 4 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value55
Digit count2
Digit sum10
Digit product25
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 5 × 11
Distinct prime factors25, 11
Number of divisors4
Sum of divisors σ(n)72
SquarefreeYesno repeated prime factor
All divisors1, 5, 11, 554 in total
Arithmetic
Representations
Decimal-55
Binary1101116 bits
Octal67
Hexadecimal37
Base 361J
In wordsminus fifty-five
Ordinalminus fifty-fifth
Scientific notation-5.5 × 10^1
Engineering notation-55
In other bases
Ternary2001base 3; the most digit-efficient integer base after e: 4 digits
Quinary210base 5; one hand: 3 digits
Septenary106base 7: 3 digits
Nonary61base 9; each digit is two ternary digits: 2 digits
Duodecimal47base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal2fbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal55base 60; Babylonian, and still how an hour and a circle are divided: 1 digit
Balanced ternaryT100Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11011001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11001001
Bit length6 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits1within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 5worth 32
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes137
Gray code101100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit11001001two's complement
16-bit1111111111001001two's complement
32-bit11111111111111111111111111001001two's complement
64-bit1111111111111111111111111111111111111111111111111111111111001001two's complement
One's complement00110110at 8 bits, every bit flipped
Bits reversed10010011at 8 bits
Rotated left by 110010011at 8 bits, wrapping
Shifted left by 1-1101110= -110, no wrap
Shifted right by 1-11100= -27, discarding the low bit
These bits as a double2.71736105 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-55 to the power 23,025
-55 to the power 3-166,375
-55 to the power 49,150,625
-55 to the power 5-503,284,375
First ten multiples-55, -110, -165, -220, -275, -330, -385, -440, -495, -550
Powers of twoBetween 2^5 (32) and 2^6 (64)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5Yes
Divisible by 6No, remainder 1
Divisible by 7No, remainder 6
Divisible by 8No, remainder 7
Divisible by 9No, remainder 1
Divisible by 10No, remainder 5
Divisible by 11Yes
Divisible by 12No, remainder 7
Divisible by 100No, remainder 55
As a percentage & fraction
As a percentage-5,500%
-55% as a decimal-0.55
-55% of 100-55
-55% of 1,000-550
As a fraction of 100-55/100
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