The number 17989
17989 is a twin prime (17987 and 17989 are both prime) and the 2064th prime number. Its only divisors are 1 and 17989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17989: a twin prime (17987 and 17989 are both prime); the 2064th prime number.
- 2
17989 is prime, so its only factors are 1 and 17989. It is the 2064th prime; the next prime is 18013 and the one before is 17987.
- 3
The divisors add up to 17990; without 17989 itself that is 1, so 17989 is deficient (1 is less than 17989). Euler's totient φ(17989) = 17988 numbers up to 17989 share no factor with it.
- 4
The digits of 17989 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
17989 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17990 |
| Euler totient φ(n) | 17988 |
| Square | 323604121 |
| Cube | 5821314532669 |
| Square root | 134.123078 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7989 × |
17989 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and eighty-nine |
| Binary (base 2) | 100011001000101 |
| Octal (base 8) | 43105 |
| Hexadecimal (base 16) | 4645 |
| Base 3 | 220200021 |
| As time | 17989 seconds = 4 h 59 min 49 s |
Is 17989 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17989 a prime number?
Yes. 17989 is divisible only by 1 and itself.
What are the factors of 17989?
1, 17989.
What is 17989 in binary?
100011001000101 (hexadecimal 4645, octal 43105).
What is the square root of 17989?
About 134.1231.
Is 17989 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 17989?
17989 is a twin prime (17987 and 17989 are both prime); the 2064th prime number.