The number 13525
13525 is a composite number with 6 divisors. Its prime factorisation is Ć 541. Divisors (6): 1, 5, 25, 541, 2705, 13525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13525 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13525 is composite. Its prime factorisation is
- 3
The divisors add up to 16802; without 13525 itself that is 3277, so 13525 is deficient (3277 is less than 13525). Euler's totient Ļ(13525) = 10800 numbers up to 13525 share no factor with it.
- 4
The digits of 13525 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13525 = 5^{2} \times 541 \]13525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 16802 |
| Euler totient Ļ(n) | 10800 |
| Square | 182925625 |
| Cube | 2474069078125 |
| Square root | 116.297033 (= 5ā541) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3525 Ć |
13525 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and twenty-five |
| Binary (base 2) | 11010011010101 |
| Octal (base 8) | 32325 |
| Hexadecimal (base 16) | 34D5 |
| Base 3 | 200112221 |
| As time | 13525 seconds = 3 h 45 min 25 s |
Is 13525 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 | No (remainder 1) | 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 (13525 Ć· 5 = 2705) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13525 a prime number?
No. 13525 = Ć 541, so it is divisible by 5.
What are the factors of 13525?
1, 5, 25, 541, 2705, 13525.
What is 13525 in binary?
11010011010101 (hexadecimal 34D5, octal 32325).
What is the square root of 13525?
About 116.2970, exactly 5ā541.
Is 13525 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13525?
It is a composite number with 6 divisors.