The number 31232
31232 is a composite number with 20 divisors. Its prime factorisation is × 61. Divisors (20): 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 512, 976, 1952 … 31232.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31232 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31232 is composite. Its prime factorisation is
- 3
The divisors add up to 63426; without 31232 itself that is 32194, so 31232 is abundant (32194 is more than 31232). Euler's totient φ(31232) = 15360 numbers up to 31232 share no factor with it.
- 4
The digits of 31232 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 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31232 = 2^{9} \times 61 \]31232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 63426 |
| Euler totient φ(n) | 15360 |
| Square | 975437824 |
| Cube | 30464874119168 |
| Square root | 176.725776 (= 16√122) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.1232 × |
31232 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and thirty-two |
| Binary (base 2) | 111101000000000 |
| Octal (base 8) | 75000 |
| Hexadecimal (base 16) | 7A00 |
| Base 3 | 1120211202 |
| As time | 31232 seconds = 8 h 40 min 32 s |
Is 31232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31232 ÷ 2 = 15616) | 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 (31232 ÷ 4 = 7808) | 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 | Yes (31232 ÷ 8 = 3904) | 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 31232 a prime number?
No. 31232 = × 61, so it is divisible by 2.
What are the factors of 31232?
1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 512, 976, 1952, 3904, 7808, 15616, 31232.
What is 31232 in binary?
111101000000000 (hexadecimal 7A00, octal 75000).
What is the square root of 31232?
About 176.7258, exactly 16√122.
Is 31232 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31232?
It is a composite number with 20 divisors.