The number 20332
20332 is a composite number with 24 divisors. Its prime factorisation is × 13 × 17 × 23. Divisors (24): 1, 2, 4, 13, 17, 23, 26, 34, 46, 52, 68, 92, 221, 299, 391, 442 … 20332.
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How to work it out
- 1
20332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20332 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 20332 itself that is 22004, so 20332 is abundant (22004 is more than 20332). Euler's totient φ(20332) = 8448 numbers up to 20332 share no factor with it.
- 4
The digits of 20332 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20332 = 2^{2} \times 13 \times 17 \times 23 \]20332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 8448 |
| Square | 413390224 |
| Cube | 8405050034368 |
| Square root | 142.590322 (= 2√5083) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.0332 × |
20332 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and thirty-two |
| Binary (base 2) | 100111101101100 |
| Octal (base 8) | 47554 |
| Hexadecimal (base 16) | 4F6C |
| Base 3 | 1000220001 |
| As time | 20332 seconds = 5 h 38 min 52 s |
Is 20332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20332 ÷ 2 = 10166) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20332 ÷ 4 = 5083) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20332 a prime number?
No. 20332 = × 13 × 17 × 23, so it is divisible by 2.
What are the factors of 20332?
1, 2, 4, 13, 17, 23, 26, 34, 46, 52, 68, 92, 221, 299, 391, 442, 598, 782, 884, 1196, 1564, 5083, 10166, 20332.
What is 20332 in binary?
100111101101100 (hexadecimal 4F6C, octal 47554).
What is the square root of 20332?
About 142.5903, exactly 2√5083.
Is 20332 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 20332?
It is a composite number with 24 divisors.