The number 13575
13575 is a composite number with 12 divisors. Its prime factorisation is 3 × × 181. Divisors (12): 1, 3, 5, 15, 25, 75, 181, 543, 905, 2715, 4525, 13575.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13575: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13575 is composite. Its prime factorisation is
- 3
The divisors add up to 22568; without 13575 itself that is 8993, so 13575 is deficient (8993 is less than 13575). Euler's totient φ(13575) = 7200 numbers up to 13575 share no factor with it.
- 4
The digits of 13575 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13575 = 3 \times 5^{2} \times 181 \]13575 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22568 |
| Euler totient φ(n) | 7200 |
| Square | 184280625 |
| Cube | 2501609484375 |
| Square root | 116.511802 (= 5√543) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3575 × |
13575 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and seventy-five |
| Binary (base 2) | 11010100000111 |
| Octal (base 8) | 32407 |
| Hexadecimal (base 16) | 3507 |
| Base 3 | 200121210 |
| As time | 13575 seconds = 3 h 46 min 15 s |
Is 13575 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 (13575 ÷ 3 = 4525) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13575 ÷ 5 = 2715) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13575 a prime number?
No. 13575 = 3 × × 181, so it is divisible by 3.
What are the factors of 13575?
1, 3, 5, 15, 25, 75, 181, 543, 905, 2715, 4525, 13575.
What is 13575 in binary?
11010100000111 (hexadecimal 3507, octal 32407).
What is the square root of 13575?
About 116.5118, exactly 5√543.
Is 13575 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13575?
13575 is a happy number: repeatedly adding the squares of its digits reaches 1.