The number 21332
21332 is a composite number with 6 divisors. Its prime factorisation is × 5333. Divisors (6): 1, 2, 4, 5333, 10666, 21332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21332 is composite. Its prime factorisation is
- 3
The divisors add up to 37338; without 21332 itself that is 16006, so 21332 is deficient (16006 is less than 21332). Euler's totient φ(21332) = 10664 numbers up to 21332 share no factor with it.
- 4
The digits of 21332 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21332 = 2^{2} \times 5333 \]21332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 37338 |
| Euler totient φ(n) | 10664 |
| Square | 455054224 |
| Cube | 9707216706368 |
| Square root | 146.054784 (= 2√5333) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.1332 × |
21332 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and thirty-two |
| Binary (base 2) | 101001101010100 |
| Octal (base 8) | 51524 |
| Hexadecimal (base 16) | 5354 |
| Base 3 | 1002021002 |
| As time | 21332 seconds = 5 h 55 min 32 s |
Is 21332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21332 ÷ 2 = 10666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21332 ÷ 4 = 5333) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21332 a prime number?
No. 21332 = × 5333, so it is divisible by 2.
What are the factors of 21332?
1, 2, 4, 5333, 10666, 21332.
What is 21332 in binary?
101001101010100 (hexadecimal 5354, octal 51524).
What is the square root of 21332?
About 146.0548, exactly 2√5333.
Is 21332 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 21332?
It is a composite number with 6 divisors.