The number 40867
40867 is the 4280th prime number. Its only divisors are 1 and 40867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40867: the 4280th prime number.
- 2
40867 is prime, so its only factors are 1 and 40867. It is the 4280th prime; the next prime is 40879 and the one before is 40853.
- 3
The divisors add up to 40868; without 40867 itself that is 1, so 40867 is deficient (1 is less than 40867). Euler's totient φ(40867) = 40866 numbers up to 40867 share no factor with it.
- 4
The digits of 40867 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
40867 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40868 |
| Euler totient φ(n) | 40866 |
| Square | 1670111689 |
| Cube | 68252454394363 |
| Square root | 202.155880 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0867 × |
40867 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and sixty-seven |
| Binary (base 2) | 1001111110100011 |
| Octal (base 8) | 117643 |
| Hexadecimal (base 16) | 9FA3 |
| Base 3 | 2002001121 |
| As time | 40867 seconds = 11 h 21 min 7 s |
Is 40867 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 1) | 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 7) | 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 2) | 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 40867 a prime number?
Yes. 40867 is divisible only by 1 and itself.
What are the factors of 40867?
1, 40867.
What is 40867 in binary?
1001111110100011 (hexadecimal 9FA3, octal 117643).
What is the square root of 40867?
About 202.1559.
Is 40867 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 40867?
40867 is the 4280th prime number.