Recognised as Number
-5,000
- Negative
- Even
- 4 digits
-5,000 is an even 4-digit integer and the negative of 5,000. It has 20 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value5,000
Digit count4
Digit sum5
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 × 2^3 × 5^4
Distinct prime factors22, 5
Number of divisors20
Sum of divisors σ(n)11,715
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1,000, 1,250, 2,500, 5,00020 in total
Arithmetic
Previous number-5,001
Next number-4,999
Double-10,000
Half-2,500
Square25,000,000
Cube-125,000,000,000
Cube root-17.099759467≈
Negation5,000
Reciprocal-0.0002≈
Representations
Decimal-5,000
Binary100111000100013 bits
Octal11610
Hexadecimal1388
Base 363UW
In wordsminus five thousand
Ordinalminus five thousandth
Scientific notation-5 × 10^3
Engineering notation-5 × 10^3
In other bases
Ternary20212012base 3; the most digit-efficient integer base after e: 8 digits
Quinary130000base 5; one hand: 6 digits
Septenary20402base 7: 5 digits
Nonary6765base 9; each digit is two ternary digits: 4 digits
Duodecimal2a88base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalca0base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:23:20base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT1T011T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11110110001000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1110110001111000
Bit length13 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits8within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes213 88
Gray code1101001001100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1110110001111000two's complement
32-bit11111111111111111110110001111000two's complement
64-bit1111111111111111111111111111111111111111111111111110110001111000two's complement
One's complement0001001110000111at 16 bits, every bit flipped
Bits reversed0001111000110111at 16 bits
Rotated left by 11101100011110001at 16 bits, wrapping
Shifted left by 1-10011100010000= -10,000, no wrap
Shifted right by 1-100111000100= -2,500, discarding the low bit
These bits as a double2.47032823 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-5,000 to the power 225,000,000
-5,000 to the power 3-125,000,000,000
-5,000 to the power 4625,000,000,000,000
-5,000 to the power 5-3,125,000,000,000,000,000
First ten multiples-5,000, -10,000, -15,000, -20,000, -25,000, -30,000, -35,000, -40,000, -45,000, -50,000
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10Yes
Divisible by 11No, remainder 6
Divisible by 12No, remainder 8
Divisible by 100Yes
As a percentage & fraction
As a percentage-500,000%
-5,000% as a decimal-50
-5,000% of 100-5,000
-5,000% of 1,000-50,000
As a fraction of 100-5,000/100
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