Recognised as Number
-513,003
- Negative
- Odd
- 6 digits
-513,003 is an odd 6-digit integer and the negative of 513,003. It has 8 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value513,003
Digit count6
Digit sum12
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 271 × 631
Distinct prime factors33, 271, 631
Number of divisors8
Sum of divisors σ(n)687,616
SquarefreeYesno repeated prime factor
All divisors1, 3, 271, 631, 813, 1,893, 171,001, 513,0038 in total
Arithmetic
Previous number-513,004
Next number-513,002
Double-1,026,006
Half-256,501.5
Square263,172,078,009
Cube-135,008,065,534,851,027
Cube root-80.052205508≈
Negation513,003
Reciprocal-0.0000019493≈
Representations
Decimal-513,003
Binary111110100111110101119 bits
Octal1751753
Hexadecimal7D3EB
Base 36AZU3
In wordsminus five hundred and thirteen thousand and three
Ordinalminus five hundred and thirteen thousand and third
Scientific notation-5.13003 × 10^5
Engineering notation-513.003 × 10^3
In other bases
Ternary222001201010base 3; the most digit-efficient integer base after e: 12 digits
Quinary112404003base 5; one hand: 9 digits
Septenary4234431base 7: 7 digits
Nonary861633base 9; each digit is two ternary digits: 6 digits
Duodecimal208a63base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal342a3base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal2:22:30:3base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT0010T110T0T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10000111110000010101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111110000010110000010101
Bit length19 bitsto write the magnitude
Set bits14the population count, or Hamming weight
Zero bits5within that length
Bit parityeven14 set bits, so even; not the same as the number itself being odd
Highest set bitbit 18worth 262,144
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes307 d3 eb
Gray code1000011101000011110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111110000010110000010101two's complement
64-bit1111111111111111111111111111111111111111111110000010110000010101two's complement
One's complement00000000000001111101001111101010at 32 bits, every bit flipped
Bits reversed10101000001101000001111111111111at 32 bits
Rotated left by 111111111111100000101100000101011at 32 bits, wrapping
Shifted left by 1-11111010011111010110= -1,026,006, no wrap
Shifted right by 1-111110100111110110= -256,501, discarding the low bit
These bits as a double2.53457159 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-513,003 to the power 2263,172,078,009
-513,003 to the power 3-135,008,065,534,851,027
-513,003 to the power 469,259,542,643,575,181,404,081
-513,003 to the power 5-35,530,353,154,781,998,785,837,765,243
First ten multiples-513,003, -1,026,006, -1,539,009, -2,052,012, -2,565,015, -3,078,018, -3,591,021, -4,104,024, -4,617,027, -5,130,030
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 3
Divisible by 7No, remainder 1
Divisible by 8No, remainder 3
Divisible by 9No, remainder 3
Divisible by 10No, remainder 3
Divisible by 11No, remainder 7
Divisible by 12No, remainder 3
Divisible by 100No, remainder 3
As a percentage & fraction
As a percentage-51,300,300%
-513,003% as a decimal-5,130.03
-513,003% of 100-513,003
-513,003% of 1,000-5,130,030
As a fraction of 100-513,003/100
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