The number 13995
13995 is a composite number with 12 divisors. Its prime factorisation is × 5 × 311. Divisors (12): 1, 3, 5, 9, 15, 45, 311, 933, 1555, 2799, 4665, 13995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13995 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13995 is composite. Its prime factorisation is
- 3
The divisors add up to 24336; without 13995 itself that is 10341, so 13995 is deficient (10341 is less than 13995). Euler's totient φ(13995) = 7440 numbers up to 13995 share no factor with it.
- 4
The digits of 13995 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13995 = 3^{2} \times 5 \times 311 \]13995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24336 |
| Euler totient φ(n) | 7440 |
| Square | 195860025 |
| Cube | 2741061049875 |
| Square root | 118.300465 (= 3√1555) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3995 × |
13995 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and ninety-five |
| Binary (base 2) | 11011010101011 |
| Octal (base 8) | 33253 |
| Hexadecimal (base 16) | 36AB |
| Base 3 | 201012100 |
| As time | 13995 seconds = 3 h 53 min 15 s |
Is 13995 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 (13995 ÷ 3 = 4665) | 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 (13995 ÷ 5 = 2799) | 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 | No (remainder 2) | 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 | Yes (13995 ÷ 9 = 1555) | 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 13995 a prime number?
No. 13995 = × 5 × 311, so it is divisible by 3.
What are the factors of 13995?
1, 3, 5, 9, 15, 45, 311, 933, 1555, 2799, 4665, 13995.
What is 13995 in binary?
11011010101011 (hexadecimal 36AB, octal 33253).
What is the square root of 13995?
About 118.3005, exactly 3√1555.
Is 13995 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 13995?
It is a composite number with 12 divisors.