Recognised as Number
-5,013
- Negative
- Odd
- 4 digits
-5,013 is an odd 4-digit integer and the negative of 5,013. It has 6 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value5,013
Digit count4
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3^2 × 557
Distinct prime factors23, 557
Number of divisors6
Sum of divisors σ(n)7,254
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 557, 1,671, 5,0136 in total
Arithmetic
Previous number-5,014
Next number-5,012
Double-10,026
Half-2,506.5
Square25,130,169
Cube-125,977,537,197
Cube root-17.114566433≈
Negation5,013
Reciprocal-0.0001994813≈
Representations
Decimal-5,013
Binary100111001010113 bits
Octal11625
Hexadecimal1395
Base 363V9
In wordsminus five thousand and thirteen
Ordinalminus five thousand and thirteenth
Scientific notation-5.013 × 10^3
Engineering notation-5.013 × 10^3
In other bases
Ternary20212200base 3; the most digit-efficient integer base after e: 8 digits
Quinary130023base 5; one hand: 6 digits
Septenary20421base 7: 5 digits
Nonary6780base 9; each digit is two ternary digits: 4 digits
Duodecimal2a99base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalcadbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:23:33base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT1T010100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11110110111111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1110110001101011
Bit length13 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits6within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 12worth 4,096
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes213 95
Gray code1101001011111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1110110001101011two's complement
32-bit11111111111111111110110001101011two's complement
64-bit1111111111111111111111111111111111111111111111111110110001101011two's complement
One's complement0001001110010100at 16 bits, every bit flipped
Bits reversed1101011000110111at 16 bits
Rotated left by 11101100011010111at 16 bits, wrapping
Shifted left by 1-10011100101010= -10,026, no wrap
Shifted right by 1-100111001011= -2,506, discarding the low bit
These bits as a double2.47675108 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-5,013 to the power 225,130,169
-5,013 to the power 3-125,977,537,197
-5,013 to the power 4631,525,393,968,561
-5,013 to the power 5-3,165,836,799,964,396,293
First ten multiples-5,013, -10,026, -15,039, -20,052, -25,065, -30,078, -35,091, -40,104, -45,117, -50,130
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 3
Divisible by 7No, remainder 1
Divisible by 8No, remainder 5
Divisible by 9Yes
Divisible by 10No, remainder 3
Divisible by 11No, remainder 8
Divisible by 12No, remainder 9
Divisible by 100No, remainder 13
As a percentage & fraction
As a percentage-501,300%
-5,013% as a decimal-50.13
-5,013% of 100-5,013
-5,013% of 1,000-50,130
As a fraction of 100-5,013/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from -5,013
Nerdulate something else
Nothing in mind? Surprise me · today’s page