The number 61729
61729 is the 6212th prime number. Its only divisors are 1 and 61729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61729: the 6212th prime number.
- 2
61729 is prime, so its only factors are 1 and 61729. It is the 6212th prime; the next prime is 61751 and the one before is 61723.
- 3
The divisors add up to 61730; without 61729 itself that is 1, so 61729 is deficient (1 is less than 61729). Euler's totient φ(61729) = 61728 numbers up to 61729 share no factor with it.
- 4
The digits of 61729 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
61729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61730 |
| Euler totient φ(n) | 61728 |
| Square | 3810469441 |
| Cube | 235216468123489 |
| Square root | 248.453215 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1729 × |
61729 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and twenty-nine |
| Binary (base 2) | 1111000100100001 |
| Octal (base 8) | 170441 |
| Hexadecimal (base 16) | F121 |
| Base 3 | 10010200021 |
| As time | 61729 seconds = 17 h 8 min 49 s |
Is 61729 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 1) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61729 a prime number?
Yes. 61729 is divisible only by 1 and itself.
What are the factors of 61729?
1, 61729.
What is 61729 in binary?
1111000100100001 (hexadecimal F121, octal 170441).
What is the square root of 61729?
About 248.4532.
Is 61729 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 61729?
61729 is the 6212th prime number.