The number 13626
13626 is a composite number with 12 divisors. Its prime factorisation is 2 × × 757. Divisors (12): 1, 2, 3, 6, 9, 18, 757, 1514, 2271, 4542, 6813, 13626.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13626: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
13626 is composite. Its prime factorisation is
- 3
The divisors add up to 29562; without 13626 itself that is 15936, so 13626 is abundant (15936 is more than 13626). Euler's totient φ(13626) = 4536 numbers up to 13626 share no factor with it.
- 4
The digits of 13626 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13626 = 2 \times 3^{2} \times 757 \]13626 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29562 |
| Euler totient φ(n) | 4536 |
| Square | 185667876 |
| Cube | 2529910478376 |
| Square root | 116.730459 (= 3√1514) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3626 × |
13626 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and twenty-six |
| Binary (base 2) | 11010100111010 |
| Octal (base 8) | 32472 |
| Hexadecimal (base 16) | 353A |
| Base 3 | 200200200 |
| As time | 13626 seconds = 3 h 47 min 6 s |
Is 13626 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13626 ÷ 2 = 6813) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13626 ÷ 3 = 4542) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (13626 ÷ 6 = 2271) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13626 ÷ 9 = 1514) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13626 a prime number?
No. 13626 = 2 × × 757, so it is divisible by 2.
What are the factors of 13626?
1, 2, 3, 6, 9, 18, 757, 1514, 2271, 4542, 6813, 13626.
What is 13626 in binary?
11010100111010 (hexadecimal 353A, octal 32472).
What is the square root of 13626?
About 116.7305, exactly 3√1514.
Is 13626 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13626?
13626 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.