The number 40031
40031 is the 4206th prime number. Its only divisors are 1 and 40031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40031: the 4206th prime number.
- 2
40031 is prime, so its only factors are 1 and 40031. It is the 4206th prime; the next prime is 40037 and the one before is 40013.
- 3
The divisors add up to 40032; without 40031 itself that is 1, so 40031 is deficient (1 is less than 40031). Euler's totient φ(40031) = 40030 numbers up to 40031 share no factor with it.
- 4
The digits of 40031 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
40031 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40032 |
| Euler totient φ(n) | 40030 |
| Square | 1602480961 |
| Cube | 64148915349791 |
| Square root | 200.077485 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0031 × |
40031 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and thirty-one |
| Binary (base 2) | 1001110001011111 |
| Octal (base 8) | 116137 |
| Hexadecimal (base 16) | 9C5F |
| Base 3 | 2000220122 |
| As time | 40031 seconds = 11 h 7 min 11 s |
Is 40031 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40031 a prime number?
Yes. 40031 is divisible only by 1 and itself.
What are the factors of 40031?
1, 40031.
What is 40031 in binary?
1001110001011111 (hexadecimal 9C5F, octal 116137).
What is the square root of 40031?
About 200.0775.
Is 40031 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 40031?
40031 is the 4206th prime number.