The number 29201
29201 is the 3174th prime number. Its only divisors are 1 and 29201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29201: the 3174th prime number.
- 2
29201 is prime, so its only factors are 1 and 29201. It is the 3174th prime; the next prime is 29207 and the one before is 29191.
- 3
The divisors add up to 29202; without 29201 itself that is 1, so 29201 is deficient (1 is less than 29201). Euler's totient φ(29201) = 29200 numbers up to 29201 share no factor with it.
- 4
The digits of 29201 add up to 14, 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.
29201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29202 |
| Euler totient φ(n) | 29200 |
| Square | 852698401 |
| Cube | 24899646007601 |
| Square root | 170.883001 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.9201 × |
29201 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand two hundred and one |
| Binary (base 2) | 111001000010001 |
| Octal (base 8) | 71021 |
| Hexadecimal (base 16) | 7211 |
| Base 3 | 1111001112 |
| As time | 29201 seconds = 8 h 6 min 41 s |
Is 29201 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 4) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 29201 a prime number?
Yes. 29201 is divisible only by 1 and itself.
What are the factors of 29201?
1, 29201.
What is 29201 in binary?
111001000010001 (hexadecimal 7211, octal 71021).
What is the square root of 29201?
About 170.8830.
Is 29201 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 29201?
29201 is the 3174th prime number.