The number 13993
13993 is a composite number with 4 divisors. Its prime factorisation is 7 × 1999. Divisors (4): 1, 7, 1999, 13993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13993: a semiprime: 7 × 1999, the product of two primes.
- 2
13993 is composite. Its prime factorisation is
- 3
The divisors add up to 16000; without 13993 itself that is 2007, so 13993 is deficient (2007 is less than 13993). Euler's totient φ(13993) = 11988 numbers up to 13993 share no factor with it.
- 4
The digits of 13993 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13993 = 7 \times 1999 \]
13993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16000 |
| Euler totient φ(n) | 11988 |
| Square | 195804049 |
| Cube | 2739886057657 |
| Square root | 118.292012 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3993 × |
13993 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and ninety-three |
| Binary (base 2) | 11011010101001 |
| Octal (base 8) | 33251 |
| Hexadecimal (base 16) | 36A9 |
| Base 3 | 201012021 |
| As time | 13993 seconds = 3 h 53 min 13 s |
Is 13993 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 | No (remainder 3) | 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 | Yes (13993 ÷ 7 = 1999) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13993 a prime number?
No. 13993 = 7 × 1999, so it is divisible by 7.
What are the factors of 13993?
1, 7, 1999, 13993.
What is 13993 in binary?
11011010101001 (hexadecimal 36A9, octal 33251).
What is the square root of 13993?
About 118.2920.
Is 13993 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13993?
13993 is a semiprime: 7 × 1999, the product of two primes.