The number 37228
37228 is a composite number with 12 divisors. Its prime factorisation is × 41 × 227. Divisors (12): 1, 2, 4, 41, 82, 164, 227, 454, 908, 9307, 18614, 37228.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37228: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37228 is composite. Its prime factorisation is
- 3
The divisors add up to 67032; without 37228 itself that is 29804, so 37228 is deficient (29804 is less than 37228). Euler's totient φ(37228) = 18080 numbers up to 37228 share no factor with it.
- 4
The digits of 37228 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37228 = 2^{2} \times 41 \times 227 \]37228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67032 |
| Euler totient φ(n) | 18080 |
| Square | 1385923984 |
| Cube | 51595178076352 |
| Square root | 192.945588 (= 2√9307) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7228 × |
37228 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and twenty-eight |
| Binary (base 2) | 1001000101101100 |
| Octal (base 8) | 110554 |
| Hexadecimal (base 16) | 916C |
| Base 3 | 1220001211 |
| As time | 37228 seconds = 10 h 20 min 28 s |
Is 37228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37228 ÷ 2 = 18614) | 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 | Yes (37228 ÷ 4 = 9307) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37228 a prime number?
No. 37228 = × 41 × 227, so it is divisible by 2.
What are the factors of 37228?
1, 2, 4, 41, 82, 164, 227, 454, 908, 9307, 18614, 37228.
What is 37228 in binary?
1001000101101100 (hexadecimal 916C, octal 110554).
What is the square root of 37228?
About 192.9456, exactly 2√9307.
Is 37228 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37228?
37228 is a happy number: repeatedly adding the squares of its digits reaches 1.