The number 61631
61631 is the 6200th prime number. Its only divisors are 1 and 61631.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61631: the 6200th prime number.
- 2
61631 is prime, so its only factors are 1 and 61631. It is the 6200th prime; the next prime is 61637 and the one before is 61627.
- 3
The divisors add up to 61632; without 61631 itself that is 1, so 61631 is deficient (1 is less than 61631). Euler's totient φ(61631) = 61630 numbers up to 61631 share no factor with it.
- 4
The digits of 61631 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
61631 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61632 |
| Euler totient φ(n) | 61630 |
| Square | 3798380161 |
| Cube | 234097967702591 |
| Square root | 248.255916 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1631 × |
61631 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and thirty-one |
| Binary (base 2) | 1111000010111111 |
| Octal (base 8) | 170277 |
| Hexadecimal (base 16) | F0BF |
| Base 3 | 10010112122 |
| As time | 61631 seconds = 17 h 7 min 11 s |
Is 61631 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61631 a prime number?
Yes. 61631 is divisible only by 1 and itself.
What are the factors of 61631?
1, 61631.
What is 61631 in binary?
1111000010111111 (hexadecimal F0BF, octal 170277).
What is the square root of 61631?
About 248.2559.
Is 61631 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 61631?
61631 is the 6200th prime number.