The number 37625
37625 is a composite number with 16 divisors. Its prime factorisation is × 7 × 43. Divisors (16): 1, 5, 7, 25, 35, 43, 125, 175, 215, 301, 875, 1075, 1505, 5375, 7525, 37625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37625 is composite. Its prime factorisation is
- 3
The divisors add up to 54912; without 37625 itself that is 17287, so 37625 is deficient (17287 is less than 37625). Euler's totient φ(37625) = 25200 numbers up to 37625 share no factor with it.
- 4
The digits of 37625 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37625 = 5^{3} \times 7 \times 43 \]37625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54912 |
| Euler totient φ(n) | 25200 |
| Square | 1415640625 |
| Cube | 53263478515625 |
| Square root | 193.971647 (= 5√1505) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7625 × |
37625 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand six hundred and twenty-five |
| Binary (base 2) | 1001001011111001 |
| Octal (base 8) | 111371 |
| Hexadecimal (base 16) | 92F9 |
| Base 3 | 1220121112 |
| As time | 37625 seconds = 10 h 27 min 5 s |
Is 37625 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 | Yes (37625 ÷ 5 = 7525) | 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 | Yes (37625 ÷ 7 = 5375) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 37625 a prime number?
No. 37625 = × 7 × 43, so it is divisible by 5.
What are the factors of 37625?
1, 5, 7, 25, 35, 43, 125, 175, 215, 301, 875, 1075, 1505, 5375, 7525, 37625.
What is 37625 in binary?
1001001011111001 (hexadecimal 92F9, octal 111371).
What is the square root of 37625?
About 193.9716, exactly 5√1505.
Is 37625 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37625?
It is a composite number with 16 divisors.