The number 37250
37250 is a composite number with 16 divisors. Its prime factorisation is 2 × × 149. Divisors (16): 1, 2, 5, 10, 25, 50, 125, 149, 250, 298, 745, 1490, 3725, 7450, 18625, 37250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37250 is composite. Its prime factorisation is
- 3
The divisors add up to 70200; without 37250 itself that is 32950, so 37250 is deficient (32950 is less than 37250). Euler's totient φ(37250) = 14800 numbers up to 37250 share no factor with it.
- 4
The digits of 37250 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37250 = 2 \times 5^{3} \times 149 \]37250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70200 |
| Euler totient φ(n) | 14800 |
| Square | 1387562500 |
| Cube | 51686703125000 |
| Square root | 193.002591 (= 5√1490) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.725 × |
37250 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and fifty |
| Binary (base 2) | 1001000110000010 |
| Octal (base 8) | 110602 |
| Hexadecimal (base 16) | 9182 |
| Base 3 | 1220002122 |
| As time | 37250 seconds = 10 h 20 min 50 s |
Is 37250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37250 ÷ 2 = 18625) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37250 ÷ 5 = 7450) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37250 ÷ 10 = 3725) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37250 a prime number?
No. 37250 = 2 × × 149, so it is divisible by 2.
What are the factors of 37250?
1, 2, 5, 10, 25, 50, 125, 149, 250, 298, 745, 1490, 3725, 7450, 18625, 37250.
What is 37250 in binary?
1001000110000010 (hexadecimal 9182, octal 110602).
What is the square root of 37250?
About 193.0026, exactly 5√1490.
Is 37250 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37250?
It is a composite number with 16 divisors.