The number 41627
41627 is the 4355th prime number. Its only divisors are 1 and 41627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41627: the 4355th prime number.
- 2
41627 is prime, so its only factors are 1 and 41627. It is the 4355th prime; the next prime is 41641 and the one before is 41621.
- 3
The divisors add up to 41628; without 41627 itself that is 1, so 41627 is deficient (1 is less than 41627). Euler's totient φ(41627) = 41626 numbers up to 41627 share no factor with it.
- 4
The digits of 41627 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
41627 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41628 |
| Euler totient φ(n) | 41626 |
| Square | 1732807129 |
| Cube | 72131562358883 |
| Square root | 204.026959 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.1627 × |
41627 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and twenty-seven |
| Binary (base 2) | 1010001010011011 |
| Octal (base 8) | 121233 |
| Hexadecimal (base 16) | A29B |
| Base 3 | 2010002202 |
| As time | 41627 seconds = 11 h 33 min 47 s |
Is 41627 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 41627 a prime number?
Yes. 41627 is divisible only by 1 and itself.
What are the factors of 41627?
1, 41627.
What is 41627 in binary?
1010001010011011 (hexadecimal A29B, octal 121233).
What is the square root of 41627?
About 204.0270.
Is 41627 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 41627?
41627 is the 4355th prime number.