The number 61731
61731 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 3, 9, 19, 57, 171, 361, 1083, 3249, 6859, 20577, 61731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61731 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61731 is composite. Its prime factorisation is
- 3
The divisors add up to 94120; without 61731 itself that is 32389, so 61731 is deficient (32389 is less than 61731). Euler's totient φ(61731) = 38988 numbers up to 61731 share no factor with it.
- 4
The digits of 61731 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61731 = 3^{2} \times 19^{3} \]61731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94120 |
| Euler totient φ(n) | 38988 |
| Square | 3810716361 |
| Cube | 235239331680891 |
| Square root | 248.457240 (= 57√19) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1731 × |
61731 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and thirty-one |
| Binary (base 2) | 1111000100100011 |
| Octal (base 8) | 170443 |
| Hexadecimal (base 16) | F123 |
| Base 3 | 10010200100 |
| As time | 61731 seconds = 17 h 8 min 51 s |
Is 61731 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61731 ÷ 3 = 20577) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61731 ÷ 9 = 6859) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61731 a prime number?
No. 61731 = × , so it is divisible by 3.
What are the factors of 61731?
1, 3, 9, 19, 57, 171, 361, 1083, 3249, 6859, 20577, 61731.
What is 61731 in binary?
1111000100100011 (hexadecimal F123, octal 170443).
What is the square root of 61731?
About 248.4572, exactly 57√19.
Is 61731 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61731?
It is a composite number with 12 divisors.