The number 13965
13965 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × × 19. Divisors (24): 1, 3, 5, 7, 15, 19, 21, 35, 49, 57, 95, 105, 133, 147, 245, 285 … 13965.
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How to work it out
- 1
13965 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13965 is composite. Its prime factorisation is
- 3
The divisors add up to 27360; without 13965 itself that is 13395, so 13965 is deficient (13395 is less than 13965). Euler's totient φ(13965) = 6048 numbers up to 13965 share no factor with it.
- 4
The digits of 13965 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13965 = 3 \times 5 \times 7^{2} \times 19 \]13965 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 27360 |
| Euler totient φ(n) | 6048 |
| Square | 195021225 |
| Cube | 2723471407125 |
| Square root | 118.173601 (= 7√285) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3965 × |
13965 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and sixty-five |
| Binary (base 2) | 11011010001101 |
| Octal (base 8) | 33215 |
| Hexadecimal (base 16) | 368D |
| Base 3 | 201011020 |
| As time | 13965 seconds = 3 h 52 min 45 s |
Is 13965 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 (13965 ÷ 3 = 4655) | 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 (13965 ÷ 5 = 2793) | 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 (13965 ÷ 7 = 1995) | 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 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13965 a prime number?
No. 13965 = 3 × 5 × × 19, so it is divisible by 3.
What are the factors of 13965?
1, 3, 5, 7, 15, 19, 21, 35, 49, 57, 95, 105, 133, 147, 245, 285, 399, 665, 735, 931, 1995, 2793, 4655, 13965.
What is 13965 in binary?
11011010001101 (hexadecimal 368D, octal 33215).
What is the square root of 13965?
About 118.1736, exactly 7√285.
Is 13965 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13965?
It is a composite number with 24 divisors.