The number 32983
32983 is the 3535th prime number. Its only divisors are 1 and 32983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32983: the 3535th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32983 is prime, so its only factors are 1 and 32983. It is the 3535th prime; the next prime is 32987 and the one before is 32971.
- 3
The divisors add up to 32984; without 32983 itself that is 1, so 32983 is deficient (1 is less than 32983). Euler's totient φ(32983) = 32982 numbers up to 32983 share no factor with it.
- 4
The digits of 32983 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
32983 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32984 |
| Euler totient φ(n) | 32982 |
| Square | 1087878289 |
| Cube | 35881489606087 |
| Square root | 181.612224 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2983 × |
32983 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and eighty-three |
| Binary (base 2) | 1000000011010111 |
| Octal (base 8) | 100327 |
| Hexadecimal (base 16) | 80D7 |
| Base 3 | 1200020121 |
| As time | 32983 seconds = 9 h 9 min 43 s |
Is 32983 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 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 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 7) | 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 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32983 a prime number?
Yes. 32983 is divisible only by 1 and itself.
What are the factors of 32983?
1, 32983.
What is 32983 in binary?
1000000011010111 (hexadecimal 80D7, octal 100327).
What is the square root of 32983?
About 181.6122.
Is 32983 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 32983?
32983 is the 3535th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.