The number 13730
13730 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1373. Divisors (8): 1, 2, 5, 10, 1373, 2746, 6865, 13730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13730: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13730 is composite. Its prime factorisation is
- 3
The divisors add up to 24732; without 13730 itself that is 11002, so 13730 is deficient (11002 is less than 13730). Euler's totient φ(13730) = 5488 numbers up to 13730 share no factor with it.
- 4
The digits of 13730 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13730 = 2 \times 5 \times 1373 \]
13730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24732 |
| Euler totient φ(n) | 5488 |
| Square | 188512900 |
| Cube | 2588282117000 |
| Square root | 117.175083 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.373 × |
13730 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirty |
| Binary (base 2) | 11010110100010 |
| Octal (base 8) | 32642 |
| Hexadecimal (base 16) | 35A2 |
| Base 3 | 200211112 |
| As time | 13730 seconds = 3 h 48 min 50 s |
Is 13730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13730 ÷ 2 = 6865) | 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 | Yes (13730 ÷ 5 = 2746) | 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13730 ÷ 10 = 1373) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 13730 a prime number?
No. 13730 = 2 × 5 × 1373, so it is divisible by 2.
What are the factors of 13730?
1, 2, 5, 10, 1373, 2746, 6865, 13730.
What is 13730 in binary?
11010110100010 (hexadecimal 35A2, octal 32642).
What is the square root of 13730?
About 117.1751.
Is 13730 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13730?
13730 is a happy number: repeatedly adding the squares of its digits reaches 1.