The number 3631
3631 is the 508th prime number. Its only divisors are 1 and 3631.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3631: the 508th prime number.
- 2
3631 is prime, so its only factors are 1 and 3631. It is the 508th prime; the next prime is 3637 and the one before is 3623.
- 3
The divisors add up to 3632; without 3631 itself that is 1, so 3631 is deficient (1 is less than 3631). Euler's totient φ(3631) = 3630 numbers up to 3631 share no factor with it.
- 4
The digits of 3631 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 100 steps to reach 1.
3631 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3632 |
| Euler totient φ(n) | 3630 |
| Square | 13184161 |
| Cube | 47871688591 |
| Square root | 60.257780 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 100 |
| Scientific notation | 3.631 × |
3631 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and thirty-one |
| Roman numerals | MMMDCXXXI |
| Binary (base 2) | 111000101111 |
| Octal (base 8) | 7057 |
| Hexadecimal (base 16) | E2F |
| Base 3 | 11222111 |
| As time | 3631 seconds = 1 h 0 min 31 s |
Is 3631 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 1) | 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 5) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 3631 a prime number?
Yes. 3631 is divisible only by 1 and itself.
What are the factors of 3631?
1, 3631.
What is 3631 in binary?
111000101111 (hexadecimal E2F, octal 7057).
What is the square root of 3631?
About 60.2578.
What is 3631 in Roman numerals?
MMMDCXXXI.
Is 3631 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3631?
3631 is the 508th prime number.