Recognised as Number
-21,325
- Negative
- Odd
- 5 digits
-21,325 is an odd 5-digit integer and the negative of 21,325. It has 6 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value21,325
Digit count5
Digit sum13
Digit product60
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 5^2 × 853
Distinct prime factors25, 853
Number of divisors6
Sum of divisors σ(n)26,474
SquarefreeNohas a repeated prime factor
All divisors1, 5, 25, 853, 4,265, 21,3256 in total
Arithmetic
Representations
Decimal-21,325
Binary10100110100110115 bits
Octal51515
Hexadecimal534D
Base 36GGD
In wordsminus twenty-one thousand, three hundred and twenty-five
Ordinalminus twenty-one thousand, three hundred and twenty-fifth
Scientific notation-2.1325 × 10^4
Engineering notation-21.325 × 10^3
In other bases
Ternary1002020211base 3; the most digit-efficient integer base after e: 10 digits
Quinary1140300base 5; one hand: 7 digits
Septenary116113base 7: 6 digits
Nonary32224base 9; each digit is two ternary digits: 5 digits
Duodecimal10411base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal2d65base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal5:55:25base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT0T1T1T1TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111110111110111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1010110010110011
Bit length15 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits7within that length
Bit parityeven8 set bits, so even; not the same as the number itself being odd
Highest set bitbit 14worth 16,384
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes253 4d
Gray code111101011101011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1010110010110011two's complement
32-bit11111111111111111010110010110011two's complement
64-bit1111111111111111111111111111111111111111111111111010110010110011two's complement
One's complement0101001101001100at 16 bits, every bit flipped
Bits reversed1100110100110101at 16 bits
Rotated left by 10101100101100111at 16 bits, wrapping
Shifted left by 1-1010011010011010= -42,650, no wrap
Shifted right by 1-10100110100111= -10,662, discarding the low bit
These bits as a double1.05359499 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-21,325 to the power 2454,755,625
-21,325 to the power 3-9,697,663,703,125
-21,325 to the power 4206,802,678,469,140,625
-21,325 to the power 5-4,410,067,118,354,423,828,125
First ten multiples-21,325, -42,650, -63,975, -85,300, -106,625, -127,950, -149,275, -170,600, -191,925, -213,250
Powers of twoBetween 2^14 (16,384) and 2^15 (32,768)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5Yes
Divisible by 6No, remainder 1
Divisible by 7No, remainder 3
Divisible by 8No, remainder 5
Divisible by 9No, remainder 4
Divisible by 10No, remainder 5
Divisible by 11No, remainder 7
Divisible by 12No, remainder 1
Divisible by 100No, remainder 25
As a percentage & fraction
As a percentage-2,132,500%
-21,325% as a decimal-213.25
-21,325% of 100-21,325
-21,325% of 1,000-213,250
As a fraction of 100-21,325/100
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