The number 29741
29741 is the 3224th prime number. Its only divisors are 1 and 29741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29741: the 3224th prime number.
- 2
29741 is prime, so its only factors are 1 and 29741. It is the 3224th prime; the next prime is 29753 and the one before is 29723.
- 3
The divisors add up to 29742; without 29741 itself that is 1, so 29741 is deficient (1 is less than 29741). Euler's totient φ(29741) = 29740 numbers up to 29741 share no factor with it.
- 4
The digits of 29741 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 46 steps to reach 1.
29741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29742 |
| Euler totient φ(n) | 29740 |
| Square | 884527081 |
| Cube | 26306719916021 |
| Square root | 172.455791 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.9741 × |
29741 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and forty-one |
| Binary (base 2) | 111010000101101 |
| Octal (base 8) | 72055 |
| Hexadecimal (base 16) | 742D |
| Base 3 | 1111210112 |
| As time | 29741 seconds = 8 h 15 min 41 s |
Is 29741 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 1) | 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 5) | 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 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29741 a prime number?
Yes. 29741 is divisible only by 1 and itself.
What are the factors of 29741?
1, 29741.
What is 29741 in binary?
111010000101101 (hexadecimal 742D, octal 72055).
What is the square root of 29741?
About 172.4558.
Is 29741 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 29741?
29741 is the 3224th prime number.