The number 61132
61132 is a composite number with 24 divisors. Its prime factorisation is × 17 × 29 × 31. Divisors (24): 1, 2, 4, 17, 29, 31, 34, 58, 62, 68, 116, 124, 493, 527, 899, 986 … 61132.
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How to work it out
- 1
61132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61132 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 61132 itself that is 59828, so 61132 is deficient (59828 is less than 61132). Euler's totient φ(61132) = 26880 numbers up to 61132 share no factor with it.
- 4
The digits of 61132 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61132 = 2^{2} \times 17 \times 29 \times 31 \]61132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 26880 |
| Square | 3737121424 |
| Cube | 228457706891968 |
| Square root | 247.248862 (= 2√15283) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1132 × |
61132 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and thirty-two |
| Binary (base 2) | 1110111011001100 |
| Octal (base 8) | 167314 |
| Hexadecimal (base 16) | EECC |
| Base 3 | 10002212011 |
| As time | 61132 seconds = 16 h 58 min 52 s |
Is 61132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61132 ÷ 2 = 30566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61132 ÷ 4 = 15283) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61132 a prime number?
No. 61132 = × 17 × 29 × 31, so it is divisible by 2.
What are the factors of 61132?
1, 2, 4, 17, 29, 31, 34, 58, 62, 68, 116, 124, 493, 527, 899, 986, 1054, 1798, 1972, 2108, 3596, 15283, 30566, 61132.
What is 61132 in binary?
1110111011001100 (hexadecimal EECC, octal 167314).
What is the square root of 61132?
About 247.2489, exactly 2√15283.
Is 61132 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 61132?
It is a composite number with 24 divisors.