The number 13165
13165 is a composite number with 4 divisors. Its prime factorisation is 5 × 2633. Divisors (4): 1, 5, 2633, 13165.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13165: a semiprime: 5 × 2633, the product of two primes.
- 2
13165 is composite. Its prime factorisation is
- 3
The divisors add up to 15804; without 13165 itself that is 2639, so 13165 is deficient (2639 is less than 13165). Euler's totient φ(13165) = 10528 numbers up to 13165 share no factor with it.
- 4
The digits of 13165 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13165 = 5 \times 2633 \]
13165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15804 |
| Euler totient φ(n) | 10528 |
| Square | 173317225 |
| Cube | 2281721267125 |
| Square root | 114.738834 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3165 × |
13165 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and sixty-five |
| Binary (base 2) | 11001101101101 |
| Octal (base 8) | 31555 |
| Hexadecimal (base 16) | 336D |
| Base 3 | 200001121 |
| As time | 13165 seconds = 3 h 39 min 25 s |
Is 13165 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 (13165 ÷ 5 = 2633) | 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 5) | 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 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 9) | 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 13165 a prime number?
No. 13165 = 5 × 2633, so it is divisible by 5.
What are the factors of 13165?
1, 5, 2633, 13165.
What is 13165 in binary?
11001101101101 (hexadecimal 336D, octal 31555).
What is the square root of 13165?
About 114.7388.
Is 13165 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13165?
13165 is a semiprime: 5 × 2633, the product of two primes.