The number 40387
40387 is the 4236th prime number. Its only divisors are 1 and 40387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40387: the 4236th prime number.
- 2
40387 is prime, so its only factors are 1 and 40387. It is the 4236th prime; the next prime is 40423 and the one before is 40361.
- 3
The divisors add up to 40388; without 40387 itself that is 1, so 40387 is deficient (1 is less than 40387). Euler's totient φ(40387) = 40386 numbers up to 40387 share no factor with it.
- 4
The digits of 40387 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 168 steps to reach 1.
40387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40388 |
| Euler totient φ(n) | 40386 |
| Square | 1631109769 |
| Cube | 65875630240603 |
| Square root | 200.965171 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0387 × |
40387 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and eighty-seven |
| Binary (base 2) | 1001110111000011 |
| Octal (base 8) | 116703 |
| Hexadecimal (base 16) | 9DC3 |
| Base 3 | 2001101211 |
| As time | 40387 seconds = 11 h 13 min 7 s |
Is 40387 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 4) | 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 6) | 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 40387 a prime number?
Yes. 40387 is divisible only by 1 and itself.
What are the factors of 40387?
1, 40387.
What is 40387 in binary?
1001110111000011 (hexadecimal 9DC3, octal 116703).
What is the square root of 40387?
About 200.9652.
Is 40387 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 40387?
40387 is the 4236th prime number.