The number 13355
13355 is a composite number with 4 divisors. Its prime factorisation is 5 × 2671. Divisors (4): 1, 5, 2671, 13355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13355: a semiprime: 5 × 2671, the product of two primes.
- 2
13355 is composite. Its prime factorisation is
- 3
The divisors add up to 16032; without 13355 itself that is 2677, so 13355 is deficient (2677 is less than 13355). Euler's totient φ(13355) = 10680 numbers up to 13355 share no factor with it.
- 4
The digits of 13355 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13355 = 5 \times 2671 \]
13355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16032 |
| Euler totient φ(n) | 10680 |
| Square | 178356025 |
| Cube | 2381944713875 |
| Square root | 115.563835 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3355 × |
13355 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifty-five |
| Binary (base 2) | 11010000101011 |
| Octal (base 8) | 32053 |
| Hexadecimal (base 16) | 342B |
| Base 3 | 200022122 |
| As time | 13355 seconds = 3 h 42 min 35 s |
Is 13355 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 (13355 ÷ 5 = 2671) | 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 6) | 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 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13355 a prime number?
No. 13355 = 5 × 2671, so it is divisible by 5.
What are the factors of 13355?
1, 5, 2671, 13355.
What is 13355 in binary?
11010000101011 (hexadecimal 342B, octal 32053).
What is the square root of 13355?
About 115.5638.
Is 13355 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13355?
13355 is a semiprime: 5 × 2671, the product of two primes.