The number 40627
40627 is the 4258th prime number. Its only divisors are 1 and 40627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40627: the 4258th prime number.
- 2
40627 is prime, so its only factors are 1 and 40627. It is the 4258th prime; the next prime is 40637 and the one before is 40609.
- 3
The divisors add up to 40628; without 40627 itself that is 1, so 40627 is deficient (1 is less than 40627). Euler's totient φ(40627) = 40626 numbers up to 40627 share no factor with it.
- 4
The digits of 40627 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 181 steps to reach 1.
40627 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40628 |
| Euler totient φ(n) | 40626 |
| Square | 1650553129 |
| Cube | 67057021971883 |
| Square root | 201.561405 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0627 × |
40627 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and twenty-seven |
| Binary (base 2) | 1001111010110011 |
| Octal (base 8) | 117263 |
| Hexadecimal (base 16) | 9EB3 |
| Base 3 | 2001201201 |
| As time | 40627 seconds = 11 h 17 min 7 s |
Is 40627 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 6) | 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 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 4) | 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 40627 a prime number?
Yes. 40627 is divisible only by 1 and itself.
What are the factors of 40627?
1, 40627.
What is 40627 in binary?
1001111010110011 (hexadecimal 9EB3, octal 117263).
What is the square root of 40627?
About 201.5614.
Is 40627 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40627?
40627 is the 4258th prime number.