The number 13485
13485 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 29 × 31. Divisors (16): 1, 3, 5, 15, 29, 31, 87, 93, 145, 155, 435, 465, 899, 2697, 4495, 13485.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13485 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13485 is composite. Its prime factorisation is
- 3
The divisors add up to 23040; without 13485 itself that is 9555, so 13485 is deficient (9555 is less than 13485). Euler's totient φ(13485) = 6720 numbers up to 13485 share no factor with it.
- 4
The digits of 13485 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13485 = 3 \times 5 \times 29 \times 31 \]
13485 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23040 |
| Euler totient φ(n) | 6720 |
| Square | 181845225 |
| Cube | 2452182859125 |
| Square root | 116.124933 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3485 × |
13485 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and eighty-five |
| Binary (base 2) | 11010010101101 |
| Octal (base 8) | 32255 |
| Hexadecimal (base 16) | 34AD |
| Base 3 | 200111110 |
| As time | 13485 seconds = 3 h 44 min 45 s |
Is 13485 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 (13485 ÷ 3 = 4495) | 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 (13485 ÷ 5 = 2697) | 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 3) | 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 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 10) | 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 13485 a prime number?
No. 13485 = 3 × 5 × 29 × 31, so it is divisible by 3.
What are the factors of 13485?
1, 3, 5, 15, 29, 31, 87, 93, 145, 155, 435, 465, 899, 2697, 4495, 13485.
What is 13485 in binary?
11010010101101 (hexadecimal 34AD, octal 32255).
What is the square root of 13485?
About 116.1249.
Is 13485 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13485?
It is a composite number with 16 divisors.