The number 61331
61331 is a twin prime (61331 and 61333 are both prime) and the 6169th prime number. Its only divisors are 1 and 61331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61331: a twin prime (61331 and 61333 are both prime); the 6169th prime number.
- 2
61331 is prime, so its only factors are 1 and 61331. It is the 6169th prime; the next prime is 61333 and the one before is 61297.
- 3
The divisors add up to 61332; without 61331 itself that is 1, so 61331 is deficient (1 is less than 61331). Euler's totient φ(61331) = 61330 numbers up to 61331 share no factor with it.
- 4
The digits of 61331 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 148 steps to reach 1.
61331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61332 |
| Euler totient φ(n) | 61330 |
| Square | 3761491561 |
| Cube | 230696038927691 |
| Square root | 247.650964 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1331 × |
61331 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and thirty-one |
| Binary (base 2) | 1110111110010011 |
| Octal (base 8) | 167623 |
| Hexadecimal (base 16) | EF93 |
| Base 3 | 10010010112 |
| As time | 61331 seconds = 17 h 2 min 11 s |
Is 61331 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 4) | 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 | No (remainder 5) | 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 6) | 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 61331 a prime number?
Yes. 61331 is divisible only by 1 and itself.
What are the factors of 61331?
1, 61331.
What is 61331 in binary?
1110111110010011 (hexadecimal EF93, octal 167623).
What is the square root of 61331?
About 247.6510.
Is 61331 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 61331?
61331 is a twin prime (61331 and 61333 are both prime); the 6169th prime number.