The number 61339
61339 is the 6171st prime number. Its only divisors are 1 and 61339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61339: the 6171st prime number.
- 2
61339 is prime, so its only factors are 1 and 61339. It is the 6171st prime; the next prime is 61343 and the one before is 61333.
- 3
The divisors add up to 61340; without 61339 itself that is 1, so 61339 is deficient (1 is less than 61339). Euler's totient φ(61339) = 61338 numbers up to 61339 share no factor with it.
- 4
The digits of 61339 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
61339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61340 |
| Euler totient φ(n) | 61338 |
| Square | 3762472921 |
| Cube | 230786326501219 |
| Square root | 247.667115 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1339 × |
61339 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and thirty-nine |
| Binary (base 2) | 1110111110011011 |
| Octal (base 8) | 167633 |
| Hexadecimal (base 16) | EF9B |
| Base 3 | 10010010211 |
| As time | 61339 seconds = 17 h 2 min 19 s |
Is 61339 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 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61339 a prime number?
Yes. 61339 is divisible only by 1 and itself.
What are the factors of 61339?
1, 61339.
What is 61339 in binary?
1110111110011011 (hexadecimal EF9B, octal 167633).
What is the square root of 61339?
About 247.6671.
Is 61339 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 61339?
61339 is the 6171st prime number.