The number 13505
13505 is a composite number with 8 divisors. Its prime factorisation is 5 × 37 × 73. Divisors (8): 1, 5, 37, 73, 185, 365, 2701, 13505.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13505 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13505 is composite. Its prime factorisation is
- 3
The divisors add up to 16872; without 13505 itself that is 3367, so 13505 is deficient (3367 is less than 13505). Euler's totient φ(13505) = 10368 numbers up to 13505 share no factor with it.
- 4
The digits of 13505 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13505 = 5 \times 37 \times 73 \]
13505 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16872 |
| Euler totient φ(n) | 10368 |
| Square | 182385025 |
| Cube | 2463109762625 |
| Square root | 116.211015 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3505 × |
13505 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and five |
| Binary (base 2) | 11010011000001 |
| Octal (base 8) | 32301 |
| Hexadecimal (base 16) | 34C1 |
| Base 3 | 200112012 |
| As time | 13505 seconds = 3 h 45 min 5 s |
Is 13505 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 (13505 ÷ 5 = 2701) | 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 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 1) | 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 8) | 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 13505 a prime number?
No. 13505 = 5 × 37 × 73, so it is divisible by 5.
What are the factors of 13505?
1, 5, 37, 73, 185, 365, 2701, 13505.
What is 13505 in binary?
11010011000001 (hexadecimal 34C1, octal 32301).
What is the square root of 13505?
About 116.2110.
Is 13505 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13505?
It is a composite number with 8 divisors.