The number 613
613 is the 112th prime number. Its only divisors are 1 and 613.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 613: the 112th prime number.
- 2
613 is prime, so its only factors are 1 and 613. It is the 112th prime; the next prime is 617 and the one before is 607.
- 3
The divisors add up to 614; without 613 itself that is 1, so 613 is deficient (1 is less than 613). Euler's totient φ(613) = 612 numbers up to 613 share no factor with it.
- 4
The digits of 613 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
613 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 614 |
| Euler totient φ(n) | 612 |
| Square | 375769 |
| Cube | 230346397 |
| Square root | 24.758837 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 38 |
| Scientific notation | 6.13 × |
613 in other forms
| Form | Value |
|---|---|
| In words | six hundred and thirteen |
| Roman numerals | DCXIII |
| Binary (base 2) | 1001100101 |
| Octal (base 8) | 1145 |
| Hexadecimal (base 16) | 265 |
| Base 3 | 211201 |
| As time | 613 seconds = 10 min 13 s |
Is 613 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 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 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 613 a prime number?
Yes. 613 is divisible only by 1 and itself.
What are the factors of 613?
1, 613.
What is 613 in binary?
1001100101 (hexadecimal 265, octal 1145).
What is the square root of 613?
About 24.7588.
What is 613 in Roman numerals?
DCXIII.
Is 613 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 613?
613 is the 112th prime number.