The number 37525
37525 is a composite number with 12 divisors. Its prime factorisation is × 19 × 79. Divisors (12): 1, 5, 19, 25, 79, 95, 395, 475, 1501, 1975, 7505, 37525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37525 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37525 is composite. Its prime factorisation is
- 3
The divisors add up to 49600; without 37525 itself that is 12075, so 37525 is deficient (12075 is less than 37525). Euler's totient φ(37525) = 28080 numbers up to 37525 share no factor with it.
- 4
The digits of 37525 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 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37525 = 5^{2} \times 19 \times 79 \]37525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49600 |
| Euler totient φ(n) | 28080 |
| Square | 1408125625 |
| Cube | 52839914078125 |
| Square root | 193.713706 (= 5√1501) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7525 × |
37525 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand five hundred and twenty-five |
| Binary (base 2) | 1001001010010101 |
| Octal (base 8) | 111225 |
| Hexadecimal (base 16) | 9295 |
| Base 3 | 1220110211 |
| As time | 37525 seconds = 10 h 25 min 25 s |
Is 37525 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 | Yes (37525 ÷ 5 = 7505) | 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 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 5) | 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 5) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37525 a prime number?
No. 37525 = × 19 × 79, so it is divisible by 5.
What are the factors of 37525?
1, 5, 19, 25, 79, 95, 395, 475, 1501, 1975, 7505, 37525.
What is 37525 in binary?
1001001010010101 (hexadecimal 9295, octal 111225).
What is the square root of 37525?
About 193.7137, exactly 5√1501.
Is 37525 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37525?
It is a composite number with 12 divisors.