The number 62132
62132 is a composite number with 18 divisors. Its prime factorisation is × × 317. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 317, 634, 1268, 2219, 4438, 8876, 15533 … 62132.
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How to work it out
- 1
What is special about 62132: a Harshad number: divisible by its digit sum 14.
- 2
62132 is composite. Its prime factorisation is
- 3
The divisors add up to 126882; without 62132 itself that is 64750, so 62132 is abundant (64750 is more than 62132). Euler's totient φ(62132) = 26544 numbers up to 62132 share no factor with it.
- 4
The digits of 62132 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62132 = 2^{2} \times 7^{2} \times 317 \]62132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 126882 |
| Euler totient φ(n) | 26544 |
| Square | 3860385424 |
| Cube | 239853467163968 |
| Square root | 249.262913 (= 14√317) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.2132 × |
62132 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand one hundred and thirty-two |
| Binary (base 2) | 1111001010110100 |
| Octal (base 8) | 171264 |
| Hexadecimal (base 16) | F2B4 |
| Base 3 | 10011020012 |
| As time | 62132 seconds = 17 h 15 min 32 s |
Is 62132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62132 ÷ 2 = 31066) | 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 (62132 ÷ 4 = 15533) | 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 | Yes (62132 ÷ 7 = 8876) | 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 4) | 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 62132 a prime number?
No. 62132 = × × 317, so it is divisible by 2.
What are the factors of 62132?
1, 2, 4, 7, 14, 28, 49, 98, 196, 317, 634, 1268, 2219, 4438, 8876, 15533, 31066, 62132.
What is 62132 in binary?
1111001010110100 (hexadecimal F2B4, octal 171264).
What is the square root of 62132?
About 249.2629, exactly 14√317.
Is 62132 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 62132?
62132 is a Harshad number: divisible by its digit sum 14.