The number 17950
17950 is a composite number with 12 divisors. Its prime factorisation is 2 × × 359. Divisors (12): 1, 2, 5, 10, 25, 50, 359, 718, 1795, 3590, 8975, 17950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17950 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17950 is composite. Its prime factorisation is
- 3
The divisors add up to 33480; without 17950 itself that is 15530, so 17950 is deficient (15530 is less than 17950). Euler's totient φ(17950) = 7160 numbers up to 17950 share no factor with it.
- 4
The digits of 17950 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17950 = 2 \times 5^{2} \times 359 \]17950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33480 |
| Euler totient φ(n) | 7160 |
| Square | 322202500 |
| Cube | 5783534875000 |
| Square root | 133.977610 (= 5√718) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.795 × |
17950 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and fifty |
| Binary (base 2) | 100011000011110 |
| Octal (base 8) | 43036 |
| Hexadecimal (base 16) | 461E |
| Base 3 | 220121211 |
| As time | 17950 seconds = 4 h 59 min 10 s |
Is 17950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17950 ÷ 2 = 8975) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17950 ÷ 5 = 3590) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17950 ÷ 10 = 1795) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17950 a prime number?
No. 17950 = 2 × × 359, so it is divisible by 2.
What are the factors of 17950?
1, 2, 5, 10, 25, 50, 359, 718, 1795, 3590, 8975, 17950.
What is 17950 in binary?
100011000011110 (hexadecimal 461E, octal 43036).
What is the square root of 17950?
About 133.9776, exactly 5√718.
Is 17950 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 17950?
It is a composite number with 12 divisors.