The number 61732
61732 is a composite number with 24 divisors. Its prime factorisation is × 11 × 23 × 61. Divisors (24): 1, 2, 4, 11, 22, 23, 44, 46, 61, 92, 122, 244, 253, 506, 671, 1012 … 61732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61732 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 61732 itself that is 63260, so 61732 is abundant (63260 is more than 61732). Euler's totient φ(61732) = 26400 numbers up to 61732 share no factor with it.
- 4
The digits of 61732 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61732 = 2^{2} \times 11 \times 23 \times 61 \]61732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 26400 |
| Square | 3810839824 |
| Cube | 235250764015168 |
| Square root | 248.459252 (= 2√15433) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1732 × |
61732 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and thirty-two |
| Binary (base 2) | 1111000100100100 |
| Octal (base 8) | 170444 |
| Hexadecimal (base 16) | F124 |
| Base 3 | 10010200101 |
| As time | 61732 seconds = 17 h 8 min 52 s |
Is 61732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61732 ÷ 2 = 30866) | 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 (61732 ÷ 4 = 15433) | 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 6) | 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 1) | 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 | Yes (61732 ÷ 11 = 5612) | 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 61732 a prime number?
No. 61732 = × 11 × 23 × 61, so it is divisible by 2.
What are the factors of 61732?
1, 2, 4, 11, 22, 23, 44, 46, 61, 92, 122, 244, 253, 506, 671, 1012, 1342, 1403, 2684, 2806, 5612, 15433, 30866, 61732.
What is 61732 in binary?
1111000100100100 (hexadecimal F124, octal 170444).
What is the square root of 61732?
About 248.4593, exactly 2√15433.
Is 61732 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61732?
It is a composite number with 24 divisors.