Recognised as Number
-13,055
- Negative
- Odd
- 5 digits
-13,055 is an odd 5-digit integer and the negative of 13,055. It has 8 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value13,055
Digit count5
Digit sum14
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 5 × 7 × 373
Distinct prime factors35, 7, 373
Number of divisors8
Sum of divisors σ(n)17,952
SquarefreeYesno repeated prime factor
All divisors1, 5, 7, 35, 373, 1,865, 2,611, 13,0558 in total
Arithmetic
Representations
Decimal-13,055
Binary1100101111111114 bits
Octal31377
Hexadecimal32FF
Base 36A2N
In wordsminus thirteen thousand and fifty-five
Ordinalminus thirteen thousand and fifty-fifth
Scientific notation-1.3055 × 10^4
Engineering notation-13.055 × 10^3
In other bases
Ternary122220112base 3; the most digit-efficient integer base after e: 9 digits
Quinary404210base 5; one hand: 6 digits
Septenary53030base 7: 5 digits
Nonary18815base 9; each digit is two ternary digits: 5 digits
Duodecimal767bbase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal1ccfbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal3:37:35base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT10001T111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101110100000001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1100110100000001
Bit length14 bitsto write the magnitude
Set bits11the population count, or Hamming weight
Zero bits3within that length
Bit parityodd11 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 13worth 8,192
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes232 ff
Gray code10101110000000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1100110100000001two's complement
32-bit11111111111111111100110100000001two's complement
64-bit1111111111111111111111111111111111111111111111111100110100000001two's complement
One's complement0011001011111110at 16 bits, every bit flipped
Bits reversed1000000010110011at 16 bits
Rotated left by 11001101000000011at 16 bits, wrapping
Shifted left by 1-110010111111110= -26,110, no wrap
Shifted right by 1-1100110000000= -6,527, discarding the low bit
These bits as a double6.45002701 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-13,055 to the power 2170,433,025
-13,055 to the power 3-2,225,003,141,375
-13,055 to the power 429,047,416,010,650,625
-13,055 to the power 5-379,214,016,019,043,909,375
First ten multiples-13,055, -26,110, -39,165, -52,220, -65,275, -78,330, -91,385, -104,440, -117,495, -130,550
Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5Yes
Divisible by 6No, remainder 5
Divisible by 7Yes
Divisible by 8No, remainder 7
Divisible by 9No, remainder 5
Divisible by 10No, remainder 5
Divisible by 11No, remainder 9
Divisible by 12No, remainder 11
Divisible by 100No, remainder 55
As a percentage & fraction
As a percentage-1,305,500%
-13,055% as a decimal-130.55
-13,055% of 100-13,055
-13,055% of 1,000-130,550
As a fraction of 100-13,055/100
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