The number 13637
13637 is a composite number with 4 divisors. Its prime factorisation is 13 × 1049. Divisors (4): 1, 13, 1049, 13637.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13637: a semiprime: 13 × 1049, the product of two primes.
- 2
13637 is composite. Its prime factorisation is
- 3
The divisors add up to 14700; without 13637 itself that is 1063, so 13637 is deficient (1063 is less than 13637). Euler's totient φ(13637) = 12576 numbers up to 13637 share no factor with it.
- 4
The digits of 13637 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13637 = 13 \times 1049 \]
13637 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14700 |
| Euler totient φ(n) | 12576 |
| Square | 185967769 |
| Cube | 2536042465853 |
| Square root | 116.777566 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3637 × |
13637 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and thirty-seven |
| Binary (base 2) | 11010101000101 |
| Octal (base 8) | 32505 |
| Hexadecimal (base 16) | 3545 |
| Base 3 | 200201002 |
| As time | 13637 seconds = 3 h 47 min 17 s |
Is 13637 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 2) | 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 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 2) | 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 8) | 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 13637 a prime number?
No. 13637 = 13 × 1049, so it is divisible by 13.
What are the factors of 13637?
1, 13, 1049, 13637.
What is 13637 in binary?
11010101000101 (hexadecimal 3545, octal 32505).
What is the square root of 13637?
About 116.7776.
Is 13637 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13637?
13637 is a semiprime: 13 × 1049, the product of two primes.