The number 37828
37828 is a composite number with 18 divisors. Its prime factorisation is × × 193. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 193, 196, 386, 772, 1351, 2702, 5404, 9457 … 37828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37828: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.
- 2
37828 is composite. Its prime factorisation is
- 3
The divisors add up to 77406; without 37828 itself that is 39578, so 37828 is abundant (39578 is more than 37828). Euler's totient φ(37828) = 16128 numbers up to 37828 share no factor with it.
- 4
The digits of 37828 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37828 = 2^{2} \times 7^{2} \times 193 \]37828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 77406 |
| Euler totient φ(n) | 16128 |
| Square | 1430957584 |
| Cube | 54130263487552 |
| Square root | 194.494216 (= 14√193) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7828 × |
37828 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and twenty-eight |
| Binary (base 2) | 1001001111000100 |
| Octal (base 8) | 111704 |
| Hexadecimal (base 16) | 93C4 |
| Base 3 | 1220220001 |
| As time | 37828 seconds = 10 h 30 min 28 s |
Is 37828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37828 ÷ 2 = 18914) | 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 (37828 ÷ 4 = 9457) | 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 | Yes (37828 ÷ 7 = 5404) | 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 1) | 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 10) | 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 37828 a prime number?
No. 37828 = × × 193, so it is divisible by 2.
What are the factors of 37828?
1, 2, 4, 7, 14, 28, 49, 98, 193, 196, 386, 772, 1351, 2702, 5404, 9457, 18914, 37828.
What is 37828 in binary?
1001001111000100 (hexadecimal 93C4, octal 111704).
What is the square root of 37828?
About 194.4942, exactly 14√193.
Is 37828 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 37828?
37828 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.