The number 17990
17990 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 257. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 257, 514, 1285, 1799, 2570, 3598, 8995, 17990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17990 is composite. Its prime factorisation is
- 3
The divisors add up to 37152; without 17990 itself that is 19162, so 17990 is abundant (19162 is more than 17990). Euler's totient φ(17990) = 6144 numbers up to 17990 share no factor with it.
- 4
The digits of 17990 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17990 = 2 \times 5 \times 7 \times 257 \]
17990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 37152 |
| Euler totient φ(n) | 6144 |
| Square | 323640100 |
| Cube | 5822285399000 |
| Square root | 134.126806 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.799 × |
17990 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and ninety |
| Binary (base 2) | 100011001000110 |
| Octal (base 8) | 43106 |
| Hexadecimal (base 16) | 4646 |
| Base 3 | 220200022 |
| As time | 17990 seconds = 4 h 59 min 50 s |
Is 17990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17990 ÷ 2 = 8995) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17990 ÷ 5 = 3598) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17990 ÷ 7 = 2570) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17990 ÷ 10 = 1799) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17990 a prime number?
No. 17990 = 2 × 5 × 7 × 257, so it is divisible by 2.
What are the factors of 17990?
1, 2, 5, 7, 10, 14, 35, 70, 257, 514, 1285, 1799, 2570, 3598, 8995, 17990.
What is 17990 in binary?
100011001000110 (hexadecimal 4646, octal 43106).
What is the square root of 17990?
About 134.1268.
Is 17990 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 17990?
It is a composite number with 16 divisors.