The number 29401
29401 is a twin prime (29399 and 29401 are both prime) and the 3195th prime number. Its only divisors are 1 and 29401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29401: a twin prime (29399 and 29401 are both prime); the 3195th prime number.
- 2
29401 is prime, so its only factors are 1 and 29401. It is the 3195th prime; the next prime is 29411 and the one before is 29399.
- 3
The divisors add up to 29402; without 29401 itself that is 1, so 29401 is deficient (1 is less than 29401). Euler's totient φ(29401) = 29400 numbers up to 29401 share no factor with it.
- 4
The digits of 29401 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
29401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29402 |
| Euler totient φ(n) | 29400 |
| Square | 864418801 |
| Cube | 25414777168201 |
| Square root | 171.467198 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9401 × |
29401 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and one |
| Binary (base 2) | 111001011011001 |
| Octal (base 8) | 71331 |
| Hexadecimal (base 16) | 72D9 |
| Base 3 | 1111022221 |
| As time | 29401 seconds = 8 h 10 min 1 s |
Is 29401 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29401 a prime number?
Yes. 29401 is divisible only by 1 and itself.
What are the factors of 29401?
1, 29401.
What is 29401 in binary?
111001011011001 (hexadecimal 72D9, octal 71331).
What is the square root of 29401?
About 171.4672.
Is 29401 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 29401?
29401 is a twin prime (29399 and 29401 are both prime); the 3195th prime number.