The number 17979
17979 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 461. Divisors (8): 1, 3, 13, 39, 461, 1383, 5993, 17979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17979 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17979 is composite. Its prime factorisation is
- 3
The divisors add up to 25872; without 17979 itself that is 7893, so 17979 is deficient (7893 is less than 17979). Euler's totient φ(17979) = 11040 numbers up to 17979 share no factor with it.
- 4
The digits of 17979 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17979 = 3 \times 13 \times 461 \]
17979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25872 |
| Euler totient φ(n) | 11040 |
| Square | 323244441 |
| Cube | 5811611804739 |
| Square root | 134.085793 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.7979 × |
17979 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and seventy-nine |
| Binary (base 2) | 100011000111011 |
| Octal (base 8) | 43073 |
| Hexadecimal (base 16) | 463B |
| Base 3 | 220122220 |
| As time | 17979 seconds = 4 h 59 min 39 s |
Is 17979 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 (17979 ÷ 3 = 5993) | 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 | No (remainder 4) | 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 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 3) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 17979 a prime number?
No. 17979 = 3 × 13 × 461, so it is divisible by 3.
What are the factors of 17979?
1, 3, 13, 39, 461, 1383, 5993, 17979.
What is 17979 in binary?
100011000111011 (hexadecimal 463B, octal 43073).
What is the square root of 17979?
About 134.0858.
Is 17979 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 17979?
It is a composite number with 8 divisors.