The number 8732
8732 is a composite number with 12 divisors. Its prime factorisation is × 37 × 59. Divisors (12): 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8732 is composite. Its prime factorisation is
- 3
The divisors add up to 15960; without 8732 itself that is 7228, so 8732 is deficient (7228 is less than 8732). Euler's totient φ(8732) = 4176 numbers up to 8732 share no factor with it.
- 4
The digits of 8732 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8732 = 2^{2} \times 37 \times 59 \]8732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15960 |
| Euler totient φ(n) | 4176 |
| Square | 76247824 |
| Cube | 665795999168 |
| Square root | 93.445171 (= 2√2183) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.732 × |
8732 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and thirty-two |
| Binary (base 2) | 10001000011100 |
| Octal (base 8) | 21034 |
| Hexadecimal (base 16) | 221C |
| Base 3 | 102222102 |
| As time | 8732 seconds = 2 h 25 min 32 s |
Is 8732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8732 ÷ 2 = 4366) | 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 (8732 ÷ 4 = 2183) | 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 9) | 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 8732 a prime number?
No. 8732 = × 37 × 59, so it is divisible by 2.
What are the factors of 8732?
1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732.
What is 8732 in binary?
10001000011100 (hexadecimal 221C, octal 21034).
What is the square root of 8732?
About 93.4452, exactly 2√2183.
Is 8732 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8732?
It is a composite number with 12 divisors.