The number 20732
20732 is a composite number with 12 divisors. Its prime factorisation is × 71 × 73. Divisors (12): 1, 2, 4, 71, 73, 142, 146, 284, 292, 5183, 10366, 20732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20732 is composite. Its prime factorisation is
- 3
The divisors add up to 37296; without 20732 itself that is 16564, so 20732 is deficient (16564 is less than 20732). Euler's totient φ(20732) = 10080 numbers up to 20732 share no factor with it.
- 4
The digits of 20732 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20732 = 2^{2} \times 71 \times 73 \]20732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 37296 |
| Euler totient φ(n) | 10080 |
| Square | 429815824 |
| Cube | 8910941663168 |
| Square root | 143.986110 (= 2√5183) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.0732 × |
20732 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and thirty-two |
| Binary (base 2) | 101000011111100 |
| Octal (base 8) | 50374 |
| Hexadecimal (base 16) | 50FC |
| Base 3 | 1001102212 |
| As time | 20732 seconds = 5 h 45 min 32 s |
Is 20732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20732 ÷ 2 = 10366) | 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 (20732 ÷ 4 = 5183) | 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 5) | 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 5) | 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 8) | 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 20732 a prime number?
No. 20732 = × 71 × 73, so it is divisible by 2.
What are the factors of 20732?
1, 2, 4, 71, 73, 142, 146, 284, 292, 5183, 10366, 20732.
What is 20732 in binary?
101000011111100 (hexadecimal 50FC, octal 50374).
What is the square root of 20732?
About 143.9861, exactly 2√5183.
Is 20732 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 20732?
It is a composite number with 12 divisors.