The number 37048
37048 is a composite number with 16 divisors. Its prime factorisation is × 11 × 421. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 421, 842, 1684, 3368, 4631, 9262, 18524, 37048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37048: a Harshad number: divisible by its digit sum 22.
- 2
37048 is composite. Its prime factorisation is
- 3
The divisors add up to 75960; without 37048 itself that is 38912, so 37048 is abundant (38912 is more than 37048). Euler's totient φ(37048) = 16800 numbers up to 37048 share no factor with it.
- 4
The digits of 37048 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37048 = 2^{3} \times 11 \times 421 \]37048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75960 |
| Euler totient φ(n) | 16800 |
| Square | 1372554304 |
| Cube | 50850391854592 |
| Square root | 192.478570 (= 2√9262) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7048 × |
37048 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and forty-eight |
| Binary (base 2) | 1001000010111000 |
| Octal (base 8) | 110270 |
| Hexadecimal (base 16) | 90B8 |
| Base 3 | 1212211011 |
| As time | 37048 seconds = 10 h 17 min 28 s |
Is 37048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37048 ÷ 2 = 18524) | 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 (37048 ÷ 4 = 9262) | 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 4) | 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 | Yes (37048 ÷ 8 = 4631) | 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 | Yes (37048 ÷ 11 = 3368) | 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 37048 a prime number?
No. 37048 = × 11 × 421, so it is divisible by 2.
What are the factors of 37048?
1, 2, 4, 8, 11, 22, 44, 88, 421, 842, 1684, 3368, 4631, 9262, 18524, 37048.
What is 37048 in binary?
1001000010111000 (hexadecimal 90B8, octal 110270).
What is the square root of 37048?
About 192.4786, exactly 2√9262.
Is 37048 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37048?
37048 is a Harshad number: divisible by its digit sum 22.