The number 31332
31332 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 373. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 373, 746, 1119, 1492 … 31332.
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How to work it out
- 1
What is special about 31332: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.
- 2
31332 is composite. Its prime factorisation is
- 3
The divisors add up to 83776; without 31332 itself that is 52444, so 31332 is abundant (52444 is more than 31332). Euler's totient φ(31332) = 8928 numbers up to 31332 share no factor with it.
- 4
The digits of 31332 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31332 = 2^{2} \times 3 \times 7 \times 373 \]31332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 83776 |
| Euler totient φ(n) | 8928 |
| Square | 981694224 |
| Cube | 30758443426368 |
| Square root | 177.008474 (= 2√7833) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.1332 × |
31332 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and thirty-two |
| Binary (base 2) | 111101001100100 |
| Octal (base 8) | 75144 |
| Hexadecimal (base 16) | 7A64 |
| Base 3 | 1120222110 |
| As time | 31332 seconds = 8 h 42 min 12 s |
Is 31332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31332 ÷ 2 = 15666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31332 ÷ 3 = 10444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31332 ÷ 4 = 7833) | 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 | Yes (31332 ÷ 6 = 5222) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31332 ÷ 7 = 4476) | 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 3) | 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 | Yes (31332 ÷ 12 = 2611) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31332 a prime number?
No. 31332 = × 3 × 7 × 373, so it is divisible by 2.
What are the factors of 31332?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 373, 746, 1119, 1492, 2238, 2611, 4476, 5222, 7833, 10444, 15666, 31332.
What is 31332 in binary?
111101001100100 (hexadecimal 7A64, octal 75144).
What is the square root of 31332?
About 177.0085, exactly 2√7833.
Is 31332 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31332?
31332 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.