The number 87337
87337 is the 8481st prime number. Its only divisors are 1 and 87337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87337: the 8481st prime number.
- 2
87337 is prime, so its only factors are 1 and 87337. It is the 8481st prime; the next prime is 87359 and the one before is 87323.
- 3
The divisors add up to 87338; without 87337 itself that is 1, so 87337 is deficient (1 is less than 87337). Euler's totient φ(87337) = 87336 numbers up to 87337 share no factor with it.
- 4
The digits of 87337 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
87337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87338 |
| Euler totient φ(n) | 87336 |
| Square | 7627751569 |
| Cube | 666184938781753 |
| Square root | 295.528340 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7337 × |
87337 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and thirty-seven |
| Binary (base 2) | 10101010100101001 |
| Octal (base 8) | 252451 |
| Hexadecimal (base 16) | 15529 |
| Base 3 | 11102210201 |
| As time | 87337 seconds = 24 h 15 min 37 s |
Is 87337 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 2) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | 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 87337 a prime number?
Yes. 87337 is divisible only by 1 and itself.
What are the factors of 87337?
1, 87337.
What is 87337 in binary?
10101010100101001 (hexadecimal 15529, octal 252451).
What is the square root of 87337?
About 295.5283.
Is 87337 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87337?
87337 is the 8481st prime number.