The number 37628
37628 is a composite number with 12 divisors. Its prime factorisation is × 23 × 409. Divisors (12): 1, 2, 4, 23, 46, 92, 409, 818, 1636, 9407, 18814, 37628.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37628 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37628 is composite. Its prime factorisation is
- 3
The divisors add up to 68880; without 37628 itself that is 31252, so 37628 is deficient (31252 is less than 37628). Euler's totient φ(37628) = 17952 numbers up to 37628 share no factor with it.
- 4
The digits of 37628 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37628 = 2^{2} \times 23 \times 409 \]37628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68880 |
| Euler totient φ(n) | 17952 |
| Square | 1415866384 |
| Cube | 53276220297152 |
| Square root | 193.979380 (= 2√9407) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7628 × |
37628 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand six hundred and twenty-eight |
| Binary (base 2) | 1001001011111100 |
| Octal (base 8) | 111374 |
| Hexadecimal (base 16) | 92FC |
| Base 3 | 1220121122 |
| As time | 37628 seconds = 10 h 27 min 8 s |
Is 37628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37628 ÷ 2 = 18814) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37628 ÷ 4 = 9407) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37628 a prime number?
No. 37628 = × 23 × 409, so it is divisible by 2.
What are the factors of 37628?
1, 2, 4, 23, 46, 92, 409, 818, 1636, 9407, 18814, 37628.
What is 37628 in binary?
1001001011111100 (hexadecimal 92FC, octal 111374).
What is the square root of 37628?
About 193.9794, exactly 2√9407.
Is 37628 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 37628?
It is a composite number with 12 divisors.