The number 61613
61613 is the 6198th prime number. Its only divisors are 1 and 61613.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61613: the 6198th prime number.
- 2
61613 is prime, so its only factors are 1 and 61613. It is the 6198th prime; the next prime is 61627 and the one before is 61609.
- 3
The divisors add up to 61614; without 61613 itself that is 1, so 61613 is deficient (1 is less than 61613). Euler's totient φ(61613) = 61612 numbers up to 61613 share no factor with it.
- 4
The digits of 61613 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 148 steps to reach 1.
61613 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61614 |
| Euler totient φ(n) | 61612 |
| Square | 3796161769 |
| Cube | 233892915073397 |
| Square root | 248.219661 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1613 × |
61613 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and thirteen |
| Binary (base 2) | 1111000010101101 |
| Octal (base 8) | 170255 |
| Hexadecimal (base 16) | F0AD |
| Base 3 | 10010111222 |
| As time | 61613 seconds = 17 h 6 min 53 s |
Is 61613 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61613 a prime number?
Yes. 61613 is divisible only by 1 and itself.
What are the factors of 61613?
1, 61613.
What is 61613 in binary?
1111000010101101 (hexadecimal F0AD, octal 170255).
What is the square root of 61613?
About 248.2197.
Is 61613 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 61613?
61613 is the 6198th prime number.