The number 29137
29137 is the 3167th prime number. Its only divisors are 1 and 29137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29137: the 3167th prime number.
- 2
29137 is prime, so its only factors are 1 and 29137. It is the 3167th prime; the next prime is 29147 and the one before is 29131.
- 3
The divisors add up to 29138; without 29137 itself that is 1, so 29137 is deficient (1 is less than 29137). Euler's totient φ(29137) = 29136 numbers up to 29137 share no factor with it.
- 4
The digits of 29137 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
29137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29138 |
| Euler totient φ(n) | 29136 |
| Square | 848964769 |
| Cube | 24736286474353 |
| Square root | 170.695636 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.9137 × |
29137 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and thirty-seven |
| Binary (base 2) | 111000111010001 |
| Octal (base 8) | 70721 |
| Hexadecimal (base 16) | 71D1 |
| Base 3 | 1110222011 |
| As time | 29137 seconds = 8 h 5 min 37 s |
Is 29137 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 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 29137 a prime number?
Yes. 29137 is divisible only by 1 and itself.
What are the factors of 29137?
1, 29137.
What is 29137 in binary?
111000111010001 (hexadecimal 71D1, octal 70721).
What is the square root of 29137?
About 170.6956.
Is 29137 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 29137?
29137 is the 3167th prime number.