The number 61627
61627 is the 6199th prime number. Its only divisors are 1 and 61627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61627: the 6199th prime number.
- 2
61627 is prime, so its only factors are 1 and 61627. It is the 6199th prime; the next prime is 61631 and the one before is 61613.
- 3
The divisors add up to 61628; without 61627 itself that is 1, so 61627 is deficient (1 is less than 61627). Euler's totient φ(61627) = 61626 numbers up to 61627 share no factor with it.
- 4
The digits of 61627 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 60 steps to reach 1.
61627 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61628 |
| Euler totient φ(n) | 61626 |
| Square | 3797887129 |
| Cube | 234052390098883 |
| Square root | 248.247860 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1627 × |
61627 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and twenty-seven |
| Binary (base 2) | 1111000010111011 |
| Octal (base 8) | 170273 |
| Hexadecimal (base 16) | F0BB |
| Base 3 | 10010112111 |
| As time | 61627 seconds = 17 h 7 min 7 s |
Is 61627 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 2) | 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 6) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 61627 a prime number?
Yes. 61627 is divisible only by 1 and itself.
What are the factors of 61627?
1, 61627.
What is 61627 in binary?
1111000010111011 (hexadecimal F0BB, octal 170273).
What is the square root of 61627?
About 248.2479.
Is 61627 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 61627?
61627 is the 6199th prime number.