The number 13985
13985 is a composite number with 4 divisors. Its prime factorisation is 5 × 2797. Divisors (4): 1, 5, 2797, 13985.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13985: a semiprime: 5 × 2797, the product of two primes.
- 2
13985 is composite. Its prime factorisation is
- 3
The divisors add up to 16788; without 13985 itself that is 2803, so 13985 is deficient (2803 is less than 13985). Euler's totient φ(13985) = 11184 numbers up to 13985 share no factor with it.
- 4
The digits of 13985 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13985 = 5 \times 2797 \]
13985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16788 |
| Euler totient φ(n) | 11184 |
| Square | 195580225 |
| Cube | 2735189446625 |
| Square root | 118.258192 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3985 × |
13985 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and eighty-five |
| Binary (base 2) | 11011010100001 |
| Octal (base 8) | 33241 |
| Hexadecimal (base 16) | 36A1 |
| Base 3 | 201011222 |
| As time | 13985 seconds = 3 h 53 min 5 s |
Is 13985 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13985 ÷ 5 = 2797) | 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 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13985 a prime number?
No. 13985 = 5 × 2797, so it is divisible by 5.
What are the factors of 13985?
1, 5, 2797, 13985.
What is 13985 in binary?
11011010100001 (hexadecimal 36A1, octal 33241).
What is the square root of 13985?
About 118.2582.
Is 13985 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13985?
13985 is a semiprime: 5 × 2797, the product of two primes.