The number 13627
13627 is the 1611th prime number. Its only divisors are 1 and 13627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13627: the 1611th prime number.
- 2
13627 is prime, so its only factors are 1 and 13627. It is the 1611th prime; the next prime is 13633 and the one before is 13619.
- 3
The divisors add up to 13628; without 13627 itself that is 1, so 13627 is deficient (1 is less than 13627). Euler's totient φ(13627) = 13626 numbers up to 13627 share no factor with it.
- 4
The digits of 13627 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
13627 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13628 |
| Euler totient φ(n) | 13626 |
| Square | 185695129 |
| Cube | 2530467522883 |
| Square root | 116.734742 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3627 × |
13627 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and twenty-seven |
| Binary (base 2) | 11010100111011 |
| Octal (base 8) | 32473 |
| Hexadecimal (base 16) | 353B |
| Base 3 | 200200201 |
| As time | 13627 seconds = 3 h 47 min 7 s |
Is 13627 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 13627 a prime number?
Yes. 13627 is divisible only by 1 and itself.
What are the factors of 13627?
1, 13627.
What is 13627 in binary?
11010100111011 (hexadecimal 353B, octal 32473).
What is the square root of 13627?
About 116.7347.
Is 13627 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13627?
13627 is the 1611th prime number.