The number 87427
87427 is the 8487th prime number. Its only divisors are 1 and 87427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87427: the 8487th prime number.
- 2
87427 is prime, so its only factors are 1 and 87427. It is the 8487th prime; the next prime is 87433 and the one before is 87421.
- 3
The divisors add up to 87428; without 87427 itself that is 1, so 87427 is deficient (1 is less than 87427). Euler's totient φ(87427) = 87426 numbers up to 87427 share no factor with it.
- 4
The digits of 87427 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 120 steps to reach 1.
87427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87428 |
| Euler totient φ(n) | 87426 |
| Square | 7643480329 |
| Cube | 668246554723483 |
| Square root | 295.680571 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7427 × |
87427 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and twenty-seven |
| Binary (base 2) | 10101010110000011 |
| Octal (base 8) | 252603 |
| Hexadecimal (base 16) | 15583 |
| Base 3 | 11102221001 |
| As time | 87427 seconds = 24 h 17 min 7 s |
Is 87427 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 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 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 3) | 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 10) | 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 87427 a prime number?
Yes. 87427 is divisible only by 1 and itself.
What are the factors of 87427?
1, 87427.
What is 87427 in binary?
10101010110000011 (hexadecimal 15583, octal 252603).
What is the square root of 87427?
About 295.6806.
Is 87427 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87427?
87427 is the 8487th prime number.