Recognised as Number
-55,013
- Negative
- Odd
- 5 digits
-55,013 is an odd 5-digit integer and the negative of 55,013. It has 8 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value55,013
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 × 7 × 29 × 271
Distinct prime factors37, 29, 271
Number of divisors8
Sum of divisors σ(n)65,280
SquarefreeYesno repeated prime factor
All divisors1, 7, 29, 203, 271, 1,897, 7,859, 55,0138 in total
Arithmetic
Representations
Decimal-55,013
Binary110101101110010116 bits
Octal153345
HexadecimalD6E5
Base 3616G5
In wordsminus fifty-five thousand and thirteen
Ordinalminus fifty-five thousand and thirteenth
Scientific notation-5.5013 × 10^4
Engineering notation-55.013 × 10^3
In other bases
Ternary2210110112base 3; the most digit-efficient integer base after e: 10 digits
Quinary3230023base 5; one hand: 7 digits
Septenary316250base 7: 6 digits
Nonary83415base 9; each digit is two ternary digits: 5 digits
Duodecimal27a05base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal6hadbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal15:16:53base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT01T0TTT111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111100101101111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111110010100100011011
Bit length16 bitsto write the magnitude
Set bits10the population count, or Hamming weight
Zero bits6within that length
Bit parityeven10 set bits, so even; not the same as the number itself being odd
Highest set bitbit 15worth 32,768
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes2d6 e5
Gray code1011110110010111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111110010100100011011two's complement
64-bit1111111111111111111111111111111111111111111111110010100100011011two's complement
One's complement00000000000000001101011011100100at 32 bits, every bit flipped
Bits reversed11011000100101001111111111111111at 32 bits
Rotated left by 111111111111111100101001000110111at 32 bits, wrapping
Shifted left by 1-11010110111001010= -110,026, no wrap
Shifted right by 1-110101101110011= -27,506, discarding the low bit
These bits as a double2.71800334 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-55,013 to the power 23,026,430,169
-55,013 to the power 3-166,493,002,887,197
-55,013 to the power 49,159,279,567,833,368,561
-55,013 to the power 5-503,879,446,865,217,104,646,293
First ten multiples-55,013, -110,026, -165,039, -220,052, -275,065, -330,078, -385,091, -440,104, -495,117, -550,130
Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7Yes
Divisible by 8No, remainder 5
Divisible by 9No, remainder 5
Divisible by 10No, remainder 3
Divisible by 11No, remainder 2
Divisible by 12No, remainder 5
Divisible by 100No, remainder 13
As a percentage & fraction
As a percentage-5,501,300%
-55,013% as a decimal-550.13
-55,013% of 100-55,013
-55,013% of 1,000-550,130
As a fraction of 100-55,013/100
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