The number 13325
13325 is a composite number with 12 divisors. Its prime factorisation is × 13 × 41. Divisors (12): 1, 5, 13, 25, 41, 65, 205, 325, 533, 1025, 2665, 13325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13325 is composite. Its prime factorisation is
- 3
The divisors add up to 18228; without 13325 itself that is 4903, so 13325 is deficient (4903 is less than 13325). Euler's totient φ(13325) = 9600 numbers up to 13325 share no factor with it.
- 4
The digits of 13325 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13325 = 5^{2} \times 13 \times 41 \]13325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18228 |
| Euler totient φ(n) | 9600 |
| Square | 177555625 |
| Cube | 2365928703125 |
| Square root | 115.433964 (= 5√533) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3325 × |
13325 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and twenty-five |
| Binary (base 2) | 11010000001101 |
| Octal (base 8) | 32015 |
| Hexadecimal (base 16) | 340D |
| Base 3 | 200021112 |
| As time | 13325 seconds = 3 h 42 min 5 s |
Is 13325 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 2) | 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 (13325 ÷ 5 = 2665) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13325 a prime number?
No. 13325 = × 13 × 41, so it is divisible by 5.
What are the factors of 13325?
1, 5, 13, 25, 41, 65, 205, 325, 533, 1025, 2665, 13325.
What is 13325 in binary?
11010000001101 (hexadecimal 340D, octal 32015).
What is the square root of 13325?
About 115.4340, exactly 5√533.
Is 13325 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13325?
It is a composite number with 12 divisors.