The number 37044
37044 is a composite number with 48 divisors. Its prime factorisation is × × . Divisors (48): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49 … 37044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37044: a Harshad number: divisible by its digit sum 18.
- 2
37044 is composite. Its prime factorisation is
- 3
The divisors add up to 112000; without 37044 itself that is 74956, so 37044 is abundant (74956 is more than 37044). Euler's totient φ(37044) = 10584 numbers up to 37044 share no factor with it.
- 4
The digits of 37044 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37044 = 2^{2} \times 3^{3} \times 7^{3} \]37044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 112000 |
| Euler totient φ(n) | 10584 |
| Square | 1372257936 |
| Cube | 50833922981184 |
| Square root | 192.468179 (= 42√21) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7044 × |
37044 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and forty-four |
| Binary (base 2) | 1001000010110100 |
| Octal (base 8) | 110264 |
| Hexadecimal (base 16) | 90B4 |
| Base 3 | 1212211000 |
| As time | 37044 seconds = 10 h 17 min 24 s |
Is 37044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37044 ÷ 2 = 18522) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37044 ÷ 3 = 12348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37044 ÷ 4 = 9261) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37044 ÷ 6 = 6174) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (37044 ÷ 7 = 5292) | 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 | Yes (37044 ÷ 9 = 4116) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37044 ÷ 12 = 3087) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37044 a prime number?
No. 37044 = × × , so it is divisible by 2.
What are the factors of 37044?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 343, 378, 441, 588, 686, 756, 882, 1029, 1323, 1372, 1764, 2058, 2646, 3087, 4116, 5292, 6174, 9261, 12348, 18522, 37044.
What is 37044 in binary?
1001000010110100 (hexadecimal 90B4, octal 110264).
What is the square root of 37044?
About 192.4682, exactly 42√21.
Is 37044 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 37044?
37044 is a Harshad number: divisible by its digit sum 18.