The number 32987
32987 is the 3536th prime number. Its only divisors are 1 and 32987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32987: the 3536th prime number.
- 2
32987 is prime, so its only factors are 1 and 32987. It is the 3536th prime; the next prime is 32993 and the one before is 32983.
- 3
The divisors add up to 32988; without 32987 itself that is 1, so 32987 is deficient (1 is less than 32987). Euler's totient φ(32987) = 32986 numbers up to 32987 share no factor with it.
- 4
The digits of 32987 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
32987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32988 |
| Euler totient φ(n) | 32986 |
| Square | 1088142169 |
| Cube | 35894545728803 |
| Square root | 181.623236 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2987 × |
32987 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and eighty-seven |
| Binary (base 2) | 1000000011011011 |
| Octal (base 8) | 100333 |
| Hexadecimal (base 16) | 80DB |
| Base 3 | 1200020202 |
| As time | 32987 seconds = 9 h 9 min 47 s |
Is 32987 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 2) | 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 3) | 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 3) | 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 7) | 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 32987 a prime number?
Yes. 32987 is divisible only by 1 and itself.
What are the factors of 32987?
1, 32987.
What is 32987 in binary?
1000000011011011 (hexadecimal 80DB, octal 100333).
What is the square root of 32987?
About 181.6232.
Is 32987 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 32987?
32987 is the 3536th prime number.