The number 40037
40037 is a twin prime (40037 and 40039 are both prime) and the 4207th prime number. Its only divisors are 1 and 40037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40037: a twin prime (40037 and 40039 are both prime); the 4207th prime number.
- 2
40037 is prime, so its only factors are 1 and 40037. It is the 4207th prime; the next prime is 40039 and the one before is 40031.
- 3
The divisors add up to 40038; without 40037 itself that is 1, so 40037 is deficient (1 is less than 40037). Euler's totient φ(40037) = 40036 numbers up to 40037 share no factor with it.
- 4
The digits of 40037 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
40037 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40038 |
| Euler totient φ(n) | 40036 |
| Square | 1602961369 |
| Cube | 64177764330653 |
| Square root | 200.092479 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0037 × |
40037 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and thirty-seven |
| Binary (base 2) | 1001110001100101 |
| Octal (base 8) | 116145 |
| Hexadecimal (base 16) | 9C65 |
| Base 3 | 2000220212 |
| As time | 40037 seconds = 11 h 7 min 17 s |
Is 40037 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 2) | 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 5) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40037 a prime number?
Yes. 40037 is divisible only by 1 and itself.
What are the factors of 40037?
1, 40037.
What is 40037 in binary?
1001110001100101 (hexadecimal 9C65, octal 116145).
What is the square root of 40037?
About 200.0925.
Is 40037 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40037?
40037 is a twin prime (40037 and 40039 are both prime); the 4207th prime number.