The number 29437
29437 is the 3199th prime number. Its only divisors are 1 and 29437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29437: the 3199th prime number.
- 2
29437 is prime, so its only factors are 1 and 29437. It is the 3199th prime; the next prime is 29443 and the one before is 29429.
- 3
The divisors add up to 29438; without 29437 itself that is 1, so 29437 is deficient (1 is less than 29437). Euler's totient φ(29437) = 29436 numbers up to 29437 share no factor with it.
- 4
The digits of 29437 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
29437 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29438 |
| Euler totient φ(n) | 29436 |
| Square | 866536969 |
| Cube | 25508248756453 |
| Square root | 171.572142 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 147 |
| Scientific notation | 2.9437 × |
29437 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and thirty-seven |
| Binary (base 2) | 111001011111101 |
| Octal (base 8) | 71375 |
| Hexadecimal (base 16) | 72FD |
| Base 3 | 1111101021 |
| As time | 29437 seconds = 8 h 10 min 37 s |
Is 29437 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 2) | 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 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 29437 a prime number?
Yes. 29437 is divisible only by 1 and itself.
What are the factors of 29437?
1, 29437.
What is 29437 in binary?
111001011111101 (hexadecimal 72FD, octal 71375).
What is the square root of 29437?
About 171.5721.
Is 29437 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 29437?
29437 is the 3199th prime number.