The number 37840
37840 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 43. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 43, 44, 55, 80, 86 … 37840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37840: a Harshad number: divisible by its digit sum 22.
- 2
37840 is composite. Its prime factorisation is
- 3
The divisors add up to 98208; without 37840 itself that is 60368, so 37840 is abundant (60368 is more than 37840). Euler's totient φ(37840) = 13440 numbers up to 37840 share no factor with it.
- 4
The digits of 37840 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37840 = 2^{4} \times 5 \times 11 \times 43 \]37840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 98208 |
| Euler totient φ(n) | 13440 |
| Square | 1431865600 |
| Cube | 54181794304000 |
| Square root | 194.525063 (= 4√2365) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.784 × |
37840 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and forty |
| Binary (base 2) | 1001001111010000 |
| Octal (base 8) | 111720 |
| Hexadecimal (base 16) | 93D0 |
| Base 3 | 1220220111 |
| As time | 37840 seconds = 10 h 30 min 40 s |
Is 37840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37840 ÷ 2 = 18920) | 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 (37840 ÷ 4 = 9460) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37840 ÷ 5 = 7568) | 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 5) | 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 (37840 ÷ 8 = 4730) | 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 | Yes (37840 ÷ 10 = 3784) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37840 ÷ 11 = 3440) | 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 37840 a prime number?
No. 37840 = × 5 × 11 × 43, so it is divisible by 2.
What are the factors of 37840?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 43, 44, 55, 80, 86, 88, 110, 172, 176, 215, 220, 344, 430, 440, 473, 688, 860, 880, 946, 1720, 1892, 2365, 3440, 3784, 4730, 7568, 9460, 18920, 37840.
What is 37840 in binary?
1001001111010000 (hexadecimal 93D0, octal 111720).
What is the square root of 37840?
About 194.5251, exactly 4√2365.
Is 37840 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37840?
37840 is a Harshad number: divisible by its digit sum 22.