The number 41729
41729 is the 4364th prime number. Its only divisors are 1 and 41729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41729: the 4364th prime number.
- 2
41729 is prime, so its only factors are 1 and 41729. It is the 4364th prime; the next prime is 41737 and the one before is 41719.
- 3
The divisors add up to 41730; without 41729 itself that is 1, so 41729 is deficient (1 is less than 41729). Euler's totient φ(41729) = 41728 numbers up to 41729 share no factor with it.
- 4
The digits of 41729 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
41729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41730 |
| Euler totient φ(n) | 41728 |
| Square | 1741309441 |
| Cube | 72663101663489 |
| Square root | 204.276773 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1729 × |
41729 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and twenty-nine |
| Binary (base 2) | 1010001100000001 |
| Octal (base 8) | 121401 |
| Hexadecimal (base 16) | A301 |
| Base 3 | 2010020112 |
| As time | 41729 seconds = 11 h 35 min 29 s |
Is 41729 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41729 a prime number?
Yes. 41729 is divisible only by 1 and itself.
What are the factors of 41729?
1, 41729.
What is 41729 in binary?
1010001100000001 (hexadecimal A301, octal 121401).
What is the square root of 41729?
About 204.2768.
Is 41729 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 41729?
41729 is the 4364th prime number.