The number 13345
13345 is a composite number with 8 divisors. Its prime factorisation is 5 × 17 × 157. Divisors (8): 1, 5, 17, 85, 157, 785, 2669, 13345.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13345 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13345 is composite. Its prime factorisation is
- 3
The divisors add up to 17064; without 13345 itself that is 3719, so 13345 is deficient (3719 is less than 13345). Euler's totient φ(13345) = 9984 numbers up to 13345 share no factor with it.
- 4
The digits of 13345 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13345 = 5 \times 17 \times 157 \]
13345 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17064 |
| Euler totient φ(n) | 9984 |
| Square | 178089025 |
| Cube | 2376598038625 |
| Square root | 115.520561 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3345 × |
13345 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and forty-five |
| Binary (base 2) | 11010000100001 |
| Octal (base 8) | 32041 |
| Hexadecimal (base 16) | 3421 |
| Base 3 | 200022021 |
| As time | 13345 seconds = 3 h 42 min 25 s |
Is 13345 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 1) | 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 (13345 ÷ 5 = 2669) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13345 a prime number?
No. 13345 = 5 × 17 × 157, so it is divisible by 5.
What are the factors of 13345?
1, 5, 17, 85, 157, 785, 2669, 13345.
What is 13345 in binary?
11010000100001 (hexadecimal 3421, octal 32041).
What is the square root of 13345?
About 115.5206.
Is 13345 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13345?
It is a composite number with 8 divisors.