The number 37225
37225 is a composite number with 6 divisors. Its prime factorisation is Ć 1489. Divisors (6): 1, 5, 25, 1489, 7445, 37225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37225: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37225 is composite. Its prime factorisation is
- 3
The divisors add up to 46190; without 37225 itself that is 8965, so 37225 is deficient (8965 is less than 37225). Euler's totient Ļ(37225) = 29760 numbers up to 37225 share no factor with it.
- 4
The digits of 37225 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37225 = 5^{2} \times 1489 \]37225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 46190 |
| Euler totient Ļ(n) | 29760 |
| Square | 1385700625 |
| Cube | 51582705765625 |
| Square root | 192.937814 (= 5ā1489) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7225 Ć |
37225 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and twenty-five |
| Binary (base 2) | 1001000101101001 |
| Octal (base 8) | 110551 |
| Hexadecimal (base 16) | 9169 |
| Base 3 | 1220001201 |
| As time | 37225 seconds = 10 h 20 min 25 s |
Is 37225 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 (37225 Ć· 5 = 7445) | 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 6) | 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 1) | 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 1) | 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 37225 a prime number?
No. 37225 = Ć 1489, so it is divisible by 5.
What are the factors of 37225?
1, 5, 25, 1489, 7445, 37225.
What is 37225 in binary?
1001000101101001 (hexadecimal 9169, octal 110551).
What is the square root of 37225?
About 192.9378, exactly 5ā1489.
Is 37225 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37225?
37225 is a happy number: repeatedly adding the squares of its digits reaches 1.