The number 40087
40087 is the 4210th prime number. Its only divisors are 1 and 40087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40087: the 4210th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40087 is prime, so its only factors are 1 and 40087. It is the 4210th prime; the next prime is 40093 and the one before is 40063.
- 3
The divisors add up to 40088; without 40087 itself that is 1, so 40087 is deficient (1 is less than 40087). Euler's totient φ(40087) = 40086 numbers up to 40087 share no factor with it.
- 4
The digits of 40087 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
40087 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40088 |
| Euler totient φ(n) | 40086 |
| Square | 1606967569 |
| Cube | 64418508938503 |
| Square root | 200.217382 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0087 × |
40087 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and eighty-seven |
| Binary (base 2) | 1001110010010111 |
| Octal (base 8) | 116227 |
| Hexadecimal (base 16) | 9C97 |
| Base 3 | 2000222201 |
| As time | 40087 seconds = 11 h 8 min 7 s |
Is 40087 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 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 7) | 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 3) | 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 40087 a prime number?
Yes. 40087 is divisible only by 1 and itself.
What are the factors of 40087?
1, 40087.
What is 40087 in binary?
1001110010010111 (hexadecimal 9C97, octal 116227).
What is the square root of 40087?
About 200.2174.
Is 40087 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40087?
40087 is the 4210th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.