The number 13425
13425 is a composite number with 12 divisors. Its prime factorisation is 3 × × 179. Divisors (12): 1, 3, 5, 15, 25, 75, 179, 537, 895, 2685, 4475, 13425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13425: a Harshad number: divisible by its digit sum 15.
- 2
13425 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 13425 itself that is 8895, so 13425 is deficient (8895 is less than 13425). Euler's totient φ(13425) = 7120 numbers up to 13425 share no factor with it.
- 4
The digits of 13425 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13425 = 3 \times 5^{2} \times 179 \]13425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 7120 |
| Square | 180230625 |
| Cube | 2419596140625 |
| Square root | 115.866302 (= 5√537) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3425 × |
13425 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and twenty-five |
| Binary (base 2) | 11010001110001 |
| Octal (base 8) | 32161 |
| Hexadecimal (base 16) | 3471 |
| Base 3 | 200102020 |
| As time | 13425 seconds = 3 h 43 min 45 s |
Is 13425 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 (13425 ÷ 3 = 4475) | 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 (13425 ÷ 5 = 2685) | 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 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | 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 13425 a prime number?
No. 13425 = 3 × × 179, so it is divisible by 3.
What are the factors of 13425?
1, 3, 5, 15, 25, 75, 179, 537, 895, 2685, 4475, 13425.
What is 13425 in binary?
11010001110001 (hexadecimal 3471, octal 32161).
What is the square root of 13425?
About 115.8663, exactly 5√537.
Is 13425 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13425?
13425 is a Harshad number: divisible by its digit sum 15.