The number 87133
87133 is the 8462nd prime number. Its only divisors are 1 and 87133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87133: the 8462nd prime number.
- 2
87133 is prime, so its only factors are 1 and 87133. It is the 8462nd prime; the next prime is 87149 and the one before is 87121.
- 3
The divisors add up to 87134; without 87133 itself that is 1, so 87133 is deficient (1 is less than 87133). Euler's totient φ(87133) = 87132 numbers up to 87133 share no factor with it.
- 4
The digits of 87133 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
87133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87134 |
| Euler totient φ(n) | 87132 |
| Square | 7592159689 |
| Cube | 661527650181637 |
| Square root | 295.182994 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7133 × |
87133 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and thirty-three |
| Binary (base 2) | 10101010001011101 |
| Octal (base 8) | 252135 |
| Hexadecimal (base 16) | 1545D |
| Base 3 | 11102112011 |
| As time | 87133 seconds = 24 h 12 min 13 s |
Is 87133 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 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 4) | 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 4) | 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 2) | 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 87133 a prime number?
Yes. 87133 is divisible only by 1 and itself.
What are the factors of 87133?
1, 87133.
What is 87133 in binary?
10101010001011101 (hexadecimal 1545D, octal 252135).
What is the square root of 87133?
About 295.1830.
Is 87133 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87133?
87133 is the 8462nd prime number.