The number 13725
13725 is a composite number with 18 divisors. Its prime factorisation is × × 61. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 61, 75, 183, 225, 305, 549, 915, 1525, 2745 … 13725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13725 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13725 is composite. Its prime factorisation is
- 3
The divisors add up to 24986; without 13725 itself that is 11261, so 13725 is deficient (11261 is less than 13725). Euler's totient φ(13725) = 7200 numbers up to 13725 share no factor with it.
- 4
The digits of 13725 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13725 = 3^{2} \times 5^{2} \times 61 \]13725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 24986 |
| Euler totient φ(n) | 7200 |
| Square | 188375625 |
| Cube | 2585455453125 |
| Square root | 117.153745 (= 15√61) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3725 × |
13725 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and twenty-five |
| Binary (base 2) | 11010110011101 |
| Octal (base 8) | 32635 |
| Hexadecimal (base 16) | 359D |
| Base 3 | 200211100 |
| As time | 13725 seconds = 3 h 48 min 45 s |
Is 13725 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 (13725 ÷ 3 = 4575) | 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 | Yes (13725 ÷ 5 = 2745) | 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 | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13725 ÷ 9 = 1525) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13725 a prime number?
No. 13725 = × × 61, so it is divisible by 3.
What are the factors of 13725?
1, 3, 5, 9, 15, 25, 45, 61, 75, 183, 225, 305, 549, 915, 1525, 2745, 4575, 13725.
What is 13725 in binary?
11010110011101 (hexadecimal 359D, octal 32635).
What is the square root of 13725?
About 117.1537, exactly 15√61.
Is 13725 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13725?
It is a composite number with 18 divisors.