The number 13475
13475 is a composite number with 18 divisors. Its prime factorisation is × × 11. Divisors (18): 1, 5, 7, 11, 25, 35, 49, 55, 77, 175, 245, 275, 385, 539, 1225, 1925 … 13475.
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How to work it out
- 1
What is special about 13475: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13475 is composite. Its prime factorisation is
- 3
The divisors add up to 21204; without 13475 itself that is 7729, so 13475 is deficient (7729 is less than 13475). Euler's totient φ(13475) = 8400 numbers up to 13475 share no factor with it.
- 4
The digits of 13475 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13475 = 5^{2} \times 7^{2} \times 11 \]13475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 21204 |
| Euler totient φ(n) | 8400 |
| Square | 181575625 |
| Cube | 2446731546875 |
| Square root | 116.081868 (= 35√11) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3475 × |
13475 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and seventy-five |
| Binary (base 2) | 11010010100011 |
| Octal (base 8) | 32243 |
| Hexadecimal (base 16) | 34A3 |
| Base 3 | 200111002 |
| As time | 13475 seconds = 3 h 44 min 35 s |
Is 13475 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13475 ÷ 5 = 2695) | 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 | Yes (13475 ÷ 7 = 1925) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (13475 ÷ 11 = 1225) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13475 a prime number?
No. 13475 = × × 11, so it is divisible by 5.
What are the factors of 13475?
1, 5, 7, 11, 25, 35, 49, 55, 77, 175, 245, 275, 385, 539, 1225, 1925, 2695, 13475.
What is 13475 in binary?
11010010100011 (hexadecimal 34A3, octal 32243).
What is the square root of 13475?
About 116.0819, exactly 35√11.
Is 13475 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13475?
13475 is a happy number: repeatedly adding the squares of its digits reaches 1.