The number 13634
13634 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 401. Divisors (8): 1, 2, 17, 34, 401, 802, 6817, 13634.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13634: a Harshad number: divisible by its digit sum 17.
- 2
13634 is composite. Its prime factorisation is
- 3
The divisors add up to 21708; without 13634 itself that is 8074, so 13634 is deficient (8074 is less than 13634). Euler's totient φ(13634) = 6400 numbers up to 13634 share no factor with it.
- 4
The digits of 13634 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13634 = 2 \times 17 \times 401 \]
13634 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21708 |
| Euler totient φ(n) | 6400 |
| Square | 185885956 |
| Cube | 2534369124104 |
| Square root | 116.764721 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3634 × |
13634 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and thirty-four |
| Binary (base 2) | 11010101000010 |
| Octal (base 8) | 32502 |
| Hexadecimal (base 16) | 3542 |
| Base 3 | 200200222 |
| As time | 13634 seconds = 3 h 47 min 14 s |
Is 13634 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13634 ÷ 2 = 6817) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13634 a prime number?
No. 13634 = 2 × 17 × 401, so it is divisible by 2.
What are the factors of 13634?
1, 2, 17, 34, 401, 802, 6817, 13634.
What is 13634 in binary?
11010101000010 (hexadecimal 3542, octal 32502).
What is the square root of 13634?
About 116.7647.
Is 13634 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13634?
13634 is a Harshad number: divisible by its digit sum 17.