The number 37825
37825 is a composite number with 12 divisors. Its prime factorisation is × 17 × 89. Divisors (12): 1, 5, 17, 25, 85, 89, 425, 445, 1513, 2225, 7565, 37825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37825: a Harshad number: divisible by its digit sum 25.
- 2
37825 is composite. Its prime factorisation is
- 3
The divisors add up to 50220; without 37825 itself that is 12395, so 37825 is deficient (12395 is less than 37825). Euler's totient φ(37825) = 28160 numbers up to 37825 share no factor with it.
- 4
The digits of 37825 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37825 = 5^{2} \times 17 \times 89 \]37825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50220 |
| Euler totient φ(n) | 28160 |
| Square | 1430730625 |
| Cube | 54117385890625 |
| Square root | 194.486503 (= 5√1513) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7825 × |
37825 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and twenty-five |
| Binary (base 2) | 1001001111000001 |
| Octal (base 8) | 111701 |
| Hexadecimal (base 16) | 93C1 |
| Base 3 | 1220212221 |
| As time | 37825 seconds = 10 h 30 min 25 s |
Is 37825 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 (37825 ÷ 5 = 7565) | 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 4) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 37825 a prime number?
No. 37825 = × 17 × 89, so it is divisible by 5.
What are the factors of 37825?
1, 5, 17, 25, 85, 89, 425, 445, 1513, 2225, 7565, 37825.
What is 37825 in binary?
1001001111000001 (hexadecimal 93C1, octal 111701).
What is the square root of 37825?
About 194.4865, exactly 5√1513.
Is 37825 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 37825?
37825 is a Harshad number: divisible by its digit sum 25.