The number 37049
37049 is the 3929th prime number. Its only divisors are 1 and 37049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37049: the 3929th prime number.
- 2
37049 is prime, so its only factors are 1 and 37049. It is the 3929th prime; the next prime is 37057 and the one before is 37039.
- 3
The divisors add up to 37050; without 37049 itself that is 1, so 37049 is deficient (1 is less than 37049). Euler's totient φ(37049) = 37048 numbers up to 37049 share no factor with it.
- 4
The digits of 37049 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
37049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37050 |
| Euler totient φ(n) | 37048 |
| Square | 1372628401 |
| Cube | 50854509628649 |
| Square root | 192.481168 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.7049 × |
37049 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and forty-nine |
| Binary (base 2) | 1001000010111001 |
| Octal (base 8) | 110271 |
| Hexadecimal (base 16) | 90B9 |
| Base 3 | 1212211012 |
| As time | 37049 seconds = 10 h 17 min 29 s |
Is 37049 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 4) | 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 5) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37049 a prime number?
Yes. 37049 is divisible only by 1 and itself.
What are the factors of 37049?
1, 37049.
What is 37049 in binary?
1001000010111001 (hexadecimal 90B9, octal 110271).
What is the square root of 37049?
About 192.4812.
Is 37049 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37049?
37049 is the 3929th prime number.