The number 13335
13335 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 7 × 127. Divisors (16): 1, 3, 5, 7, 15, 21, 35, 105, 127, 381, 635, 889, 1905, 2667, 4445, 13335.
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How to work it out
- 1
What is special about 13335: a Harshad number: divisible by its digit sum 15.
- 2
13335 is composite. Its prime factorisation is
- 3
The divisors add up to 24576; without 13335 itself that is 11241, so 13335 is deficient (11241 is less than 13335). Euler's totient φ(13335) = 6048 numbers up to 13335 share no factor with it.
- 4
The digits of 13335 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13335 = 3 \times 5 \times 7 \times 127 \]
13335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24576 |
| Euler totient φ(n) | 6048 |
| Square | 177822225 |
| Cube | 2371259370375 |
| Square root | 115.477270 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3335 × |
13335 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirty-five |
| Binary (base 2) | 11010000010111 |
| Octal (base 8) | 32027 |
| Hexadecimal (base 16) | 3417 |
| Base 3 | 200021220 |
| As time | 13335 seconds = 3 h 42 min 15 s |
Is 13335 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 (13335 ÷ 3 = 4445) | 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 (13335 ÷ 5 = 2667) | 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 | Yes (13335 ÷ 7 = 1905) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13335 a prime number?
No. 13335 = 3 × 5 × 7 × 127, so it is divisible by 3.
What are the factors of 13335?
1, 3, 5, 7, 15, 21, 35, 105, 127, 381, 635, 889, 1905, 2667, 4445, 13335.
What is 13335 in binary?
11010000010111 (hexadecimal 3417, octal 32027).
What is the square root of 13335?
About 115.4773.
Is 13335 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13335?
13335 is a Harshad number: divisible by its digit sum 15.