The number 37249
37249 is a perfect square (193²). Its prime factorisation is . Divisors (3): 1, 193, 37249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37249: a perfect square (193²); the square of a prime (193²).
- 2
37249 is composite. Its prime factorisation is
- 3
The divisors add up to 37443; without 37249 itself that is 194, so 37249 is deficient (194 is less than 37249). Euler's totient φ(37249) = 37056 numbers up to 37249 share no factor with it.
- 4
The digits of 37249 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37249 = 193^{2} \]37249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 37443 |
| Euler totient φ(n) | 37056 |
| Square | 1387488001 |
| Cube | 51682540549249 |
| Square root | 193 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7249 × |
| Perfect power |
37249 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and forty-nine |
| Binary (base 2) | 1001000110000001 |
| Octal (base 8) | 110601 |
| Hexadecimal (base 16) | 9181 |
| Base 3 | 1220002121 |
| As time | 37249 seconds = 10 h 20 min 49 s |
Is 37249 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 4) | 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 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 37249 a prime number?
No. 37249 = , so it is divisible by 193.
What are the factors of 37249?
1, 193, 37249.
What is 37249 in binary?
1001000110000001 (hexadecimal 9181, octal 110601).
What is the square root of 37249?
193, because 193 × 193 = 37249.
Is 37249 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 37249?
37249 is a perfect square (193²); the square of a prime (193²).