The number 13629
13629 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 59. Divisors (16): 1, 3, 7, 11, 21, 33, 59, 77, 177, 231, 413, 649, 1239, 1947, 4543, 13629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13629: a Harshad number: divisible by its digit sum 21.
- 2
13629 is composite. Its prime factorisation is
- 3
The divisors add up to 23040; without 13629 itself that is 9411, so 13629 is deficient (9411 is less than 13629). Euler's totient φ(13629) = 6960 numbers up to 13629 share no factor with it.
- 4
The digits of 13629 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13629 = 3 \times 7 \times 11 \times 59 \]
13629 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23040 |
| Euler totient φ(n) | 6960 |
| Square | 185749641 |
| Cube | 2531581857189 |
| Square root | 116.743308 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3629 × |
13629 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and twenty-nine |
| Binary (base 2) | 11010100111101 |
| Octal (base 8) | 32475 |
| Hexadecimal (base 16) | 353D |
| Base 3 | 200200210 |
| As time | 13629 seconds = 3 h 47 min 9 s |
Is 13629 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 | Yes (13629 ÷ 3 = 4543) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13629 ÷ 7 = 1947) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13629 ÷ 11 = 1239) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13629 a prime number?
No. 13629 = 3 × 7 × 11 × 59, so it is divisible by 3.
What are the factors of 13629?
1, 3, 7, 11, 21, 33, 59, 77, 177, 231, 413, 649, 1239, 1947, 4543, 13629.
What is 13629 in binary?
11010100111101 (hexadecimal 353D, octal 32475).
What is the square root of 13629?
About 116.7433.
Is 13629 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13629?
13629 is a Harshad number: divisible by its digit sum 21.