The number 13607
13607 is a composite number with 4 divisors. Its prime factorisation is 11 × 1237. Divisors (4): 1, 11, 1237, 13607.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13607: a semiprime: 11 × 1237, the product of two primes.
- 2
13607 is composite. Its prime factorisation is
- 3
The divisors add up to 14856; without 13607 itself that is 1249, so 13607 is deficient (1249 is less than 13607). Euler's totient φ(13607) = 12360 numbers up to 13607 share no factor with it.
- 4
The digits of 13607 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13607 = 11 \times 1237 \]
13607 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14856 |
| Euler totient φ(n) | 12360 |
| Square | 185150449 |
| Cube | 2519342159543 |
| Square root | 116.649046 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3607 × |
13607 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seven |
| Binary (base 2) | 11010100100111 |
| Octal (base 8) | 32447 |
| Hexadecimal (base 16) | 3527 |
| Base 3 | 200122222 |
| As time | 13607 seconds = 3 h 46 min 47 s |
Is 13607 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | 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 | Yes (13607 ÷ 11 = 1237) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13607 a prime number?
No. 13607 = 11 × 1237, so it is divisible by 11.
What are the factors of 13607?
1, 11, 1237, 13607.
What is 13607 in binary?
11010100100111 (hexadecimal 3527, octal 32447).
What is the square root of 13607?
About 116.6490.
Is 13607 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13607?
13607 is a semiprime: 11 × 1237, the product of two primes.