The number 41467
41467 is the 4337th prime number. Its only divisors are 1 and 41467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41467: the 4337th prime number.
- 2
41467 is prime, so its only factors are 1 and 41467. It is the 4337th prime; the next prime is 41479 and the one before is 41453.
- 3
The divisors add up to 41468; without 41467 itself that is 1, so 41467 is deficient (1 is less than 41467). Euler's totient φ(41467) = 41466 numbers up to 41467 share no factor with it.
- 4
The digits of 41467 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
41467 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41468 |
| Euler totient φ(n) | 41466 |
| Square | 1719512089 |
| Cube | 71303007794563 |
| Square root | 203.634476 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1467 × |
41467 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and sixty-seven |
| Binary (base 2) | 1010000111111011 |
| Octal (base 8) | 120773 |
| Hexadecimal (base 16) | A1FB |
| Base 3 | 2002212211 |
| As time | 41467 seconds = 11 h 31 min 7 s |
Is 41467 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 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41467 a prime number?
Yes. 41467 is divisible only by 1 and itself.
What are the factors of 41467?
1, 41467.
What is 41467 in binary?
1010000111111011 (hexadecimal A1FB, octal 120773).
What is the square root of 41467?
About 203.6345.
Is 41467 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 41467?
41467 is the 4337th prime number.