The number 29501
29501 is the 3204th prime number. Its only divisors are 1 and 29501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29501: the 3204th prime number.
- 2
29501 is prime, so its only factors are 1 and 29501. It is the 3204th prime; the next prime is 29527 and the one before is 29483.
- 3
The divisors add up to 29502; without 29501 itself that is 1, so 29501 is deficient (1 is less than 29501). Euler's totient φ(29501) = 29500 numbers up to 29501 share no factor with it.
- 4
The digits of 29501 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
29501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29502 |
| Euler totient φ(n) | 29500 |
| Square | 870309001 |
| Cube | 25674985838501 |
| Square root | 171.758551 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.9501 × |
29501 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand five hundred and one |
| Binary (base 2) | 111001100111101 |
| Octal (base 8) | 71475 |
| Hexadecimal (base 16) | 733D |
| Base 3 | 1111110122 |
| As time | 29501 seconds = 8 h 11 min 41 s |
Is 29501 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 3) | 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 8) | 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 10) | 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 29501 a prime number?
Yes. 29501 is divisible only by 1 and itself.
What are the factors of 29501?
1, 29501.
What is 29501 in binary?
111001100111101 (hexadecimal 733D, octal 71475).
What is the square root of 29501?
About 171.7586.
Is 29501 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 29501?
29501 is the 3204th prime number.