The number 17949
17949 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 193. Divisors (8): 1, 3, 31, 93, 193, 579, 5983, 17949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17949 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17949 is composite. Its prime factorisation is
- 3
The divisors add up to 24832; without 17949 itself that is 6883, so 17949 is deficient (6883 is less than 17949). Euler's totient φ(17949) = 11520 numbers up to 17949 share no factor with it.
- 4
The digits of 17949 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17949 = 3 \times 31 \times 193 \]
17949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24832 |
| Euler totient φ(n) | 11520 |
| Square | 322166601 |
| Cube | 5782568321349 |
| Square root | 133.973878 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7949 × |
17949 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and forty-nine |
| Binary (base 2) | 100011000011101 |
| Octal (base 8) | 43035 |
| Hexadecimal (base 16) | 461D |
| Base 3 | 220121210 |
| As time | 17949 seconds = 4 h 59 min 9 s |
Is 17949 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 (17949 ÷ 3 = 5983) | 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 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17949 a prime number?
No. 17949 = 3 × 31 × 193, so it is divisible by 3.
What are the factors of 17949?
1, 3, 31, 93, 193, 579, 5983, 17949.
What is 17949 in binary?
100011000011101 (hexadecimal 461D, octal 43035).
What is the square root of 17949?
About 133.9739.
Is 17949 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 17949?
It is a composite number with 8 divisors.