The number 17993
17993 is a composite number with 4 divisors. Its prime factorisation is 19 × 947. Divisors (4): 1, 19, 947, 17993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17993: a semiprime: 19 × 947, the product of two primes.
- 2
17993 is composite. Its prime factorisation is
- 3
The divisors add up to 18960; without 17993 itself that is 967, so 17993 is deficient (967 is less than 17993). Euler's totient φ(17993) = 17028 numbers up to 17993 share no factor with it.
- 4
The digits of 17993 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17993 = 19 \times 947 \]
17993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18960 |
| Euler totient φ(n) | 17028 |
| Square | 323748049 |
| Cube | 5825198645657 |
| Square root | 134.137989 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.7993 × |
17993 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and ninety-three |
| Binary (base 2) | 100011001001001 |
| Octal (base 8) | 43111 |
| Hexadecimal (base 16) | 4649 |
| Base 3 | 220200102 |
| As time | 17993 seconds = 4 h 59 min 53 s |
Is 17993 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 | No (remainder 3) | 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 3) | 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 2) | 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 8) | 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 17993 a prime number?
No. 17993 = 19 × 947, so it is divisible by 19.
What are the factors of 17993?
1, 19, 947, 17993.
What is 17993 in binary?
100011001001001 (hexadecimal 4649, octal 43111).
What is the square root of 17993?
About 134.1380.
Is 17993 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 17993?
17993 is a semiprime: 19 × 947, the product of two primes.