The number 37725
37725 is a composite number with 12 divisors. Its prime factorisation is 3 × × 503. Divisors (12): 1, 3, 5, 15, 25, 75, 503, 1509, 2515, 7545, 12575, 37725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37725 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37725 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 37725 itself that is 24771, so 37725 is deficient (24771 is less than 37725). Euler's totient φ(37725) = 20080 numbers up to 37725 share no factor with it.
- 4
The digits of 37725 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37725 = 3 \times 5^{2} \times 503 \]37725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 20080 |
| Square | 1423175625 |
| Cube | 53689300453125 |
| Square root | 194.229246 (= 5√1509) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.7725 × |
37725 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand seven hundred and twenty-five |
| Binary (base 2) | 1001001101011101 |
| Octal (base 8) | 111535 |
| Hexadecimal (base 16) | 935D |
| Base 3 | 1220202020 |
| As time | 37725 seconds = 10 h 28 min 45 s |
Is 37725 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 | Yes (37725 ÷ 3 = 12575) | 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 (37725 ÷ 5 = 7545) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37725 a prime number?
No. 37725 = 3 × × 503, so it is divisible by 3.
What are the factors of 37725?
1, 3, 5, 15, 25, 75, 503, 1509, 2515, 7545, 12575, 37725.
What is 37725 in binary?
1001001101011101 (hexadecimal 935D, octal 111535).
What is the square root of 37725?
About 194.2292, exactly 5√1509.
Is 37725 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 37725?
It is a composite number with 12 divisors.