The number 3613
3613 is the 505th prime number. Its only divisors are 1 and 3613.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3613: the 505th prime number.
- 2
3613 is prime, so its only factors are 1 and 3613. It is the 505th prime; the next prime is 3617 and the one before is 3607.
- 3
The divisors add up to 3614; without 3613 itself that is 1, so 3613 is deficient (1 is less than 3613). Euler's totient φ(3613) = 3612 numbers up to 3613 share no factor with it.
- 4
The digits of 3613 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
3613 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3614 |
| Euler totient φ(n) | 3612 |
| Square | 13053769 |
| Cube | 47163267397 |
| Square root | 60.108236 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.613 × |
3613 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and thirteen |
| Roman numerals | MMMDCXIII |
| Binary (base 2) | 111000011101 |
| Octal (base 8) | 7035 |
| Hexadecimal (base 16) | E1D |
| Base 3 | 11221211 |
| As time | 3613 seconds = 1 h 0 min 13 s |
Is 3613 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 1) | 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 4) | 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 5) | 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 3613 a prime number?
Yes. 3613 is divisible only by 1 and itself.
What are the factors of 3613?
1, 3613.
What is 3613 in binary?
111000011101 (hexadecimal E1D, octal 7035).
What is the square root of 3613?
About 60.1082.
What is 3613 in Roman numerals?
MMMDCXIII.
Is 3613 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3613?
3613 is the 505th prime number.