The number 37425
37425 is a composite number with 12 divisors. Its prime factorisation is 3 × × 499. Divisors (12): 1, 3, 5, 15, 25, 75, 499, 1497, 2495, 7485, 12475, 37425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37425: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37425 is composite. Its prime factorisation is
- 3
The divisors add up to 62000; without 37425 itself that is 24575, so 37425 is deficient (24575 is less than 37425). Euler's totient φ(37425) = 19920 numbers up to 37425 share no factor with it.
- 4
The digits of 37425 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37425 = 3 \times 5^{2} \times 499 \]37425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62000 |
| Euler totient φ(n) | 19920 |
| Square | 1400630625 |
| Cube | 52418601140625 |
| Square root | 193.455421 (= 5√1497) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.7425 × |
37425 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and twenty-five |
| Binary (base 2) | 1001001000110001 |
| Octal (base 8) | 111061 |
| Hexadecimal (base 16) | 9231 |
| Base 3 | 1220100010 |
| As time | 37425 seconds = 10 h 23 min 45 s |
Is 37425 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 (37425 ÷ 3 = 12475) | 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 (37425 ÷ 5 = 7485) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | 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 37425 a prime number?
No. 37425 = 3 × × 499, so it is divisible by 3.
What are the factors of 37425?
1, 3, 5, 15, 25, 75, 499, 1497, 2495, 7485, 12475, 37425.
What is 37425 in binary?
1001001000110001 (hexadecimal 9231, octal 111061).
What is the square root of 37425?
About 193.4554, exactly 5√1497.
Is 37425 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 37425?
37425 is a happy number: repeatedly adding the squares of its digits reaches 1.