The number 39983
39983 is the 4202nd prime number. Its only divisors are 1 and 39983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39983: the 4202nd prime number.
- 2
39983 is prime, so its only factors are 1 and 39983. It is the 4202nd prime; the next prime is 39989 and the one before is 39979.
- 3
The divisors add up to 39984; without 39983 itself that is 1, so 39983 is deficient (1 is less than 39983). Euler's totient φ(39983) = 39982 numbers up to 39983 share no factor with it.
- 4
The digits of 39983 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
39983 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 39984 |
| Euler totient φ(n) | 39982 |
| Square | 1598640289 |
| Cube | 63918434675087 |
| Square root | 199.957495 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9983 × |
39983 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and eighty-three |
| Binary (base 2) | 1001110000101111 |
| Octal (base 8) | 116057 |
| Hexadecimal (base 16) | 9C2F |
| Base 3 | 2000211212 |
| As time | 39983 seconds = 11 h 6 min 23 s |
Is 39983 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39983 a prime number?
Yes. 39983 is divisible only by 1 and itself.
What are the factors of 39983?
1, 39983.
What is 39983 in binary?
1001110000101111 (hexadecimal 9C2F, octal 116057).
What is the square root of 39983?
About 199.9575.
Is 39983 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 39983?
39983 is the 4202nd prime number.