The number 39989
39989 is the 4203rd prime number. Its only divisors are 1 and 39989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39989: the 4203rd prime number.
- 2
39989 is prime, so its only factors are 1 and 39989. It is the 4203rd prime; the next prime is 40009 and the one before is 39983.
- 3
The divisors add up to 39990; without 39989 itself that is 1, so 39989 is deficient (1 is less than 39989). Euler's totient φ(39989) = 39988 numbers up to 39989 share no factor with it.
- 4
The digits of 39989 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
39989 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 39990 |
| Euler totient φ(n) | 39988 |
| Square | 1599120121 |
| Cube | 63947214518669 |
| Square root | 199.972498 |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 181 |
| Scientific notation | 3.9989 × |
39989 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and eighty-nine |
| Binary (base 2) | 1001110000110101 |
| Octal (base 8) | 116065 |
| Hexadecimal (base 16) | 9C35 |
| Base 3 | 2000212002 |
| As time | 39989 seconds = 11 h 6 min 29 s |
Is 39989 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39989 a prime number?
Yes. 39989 is divisible only by 1 and itself.
What are the factors of 39989?
1, 39989.
What is 39989 in binary?
1001110000110101 (hexadecimal 9C35, octal 116065).
What is the square root of 39989?
About 199.9725.
Is 39989 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 39989?
39989 is the 4203rd prime number.