The number 38940
38940 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 11 × 59. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55 … 38940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38940 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 38940 itself that is 82020, so 38940 is abundant (82020 is more than 38940). Euler's totient φ(38940) = 9280 numbers up to 38940 share no factor with it.
- 4
The digits of 38940 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38940 = 2^{2} \times 3 \times 5 \times 11 \times 59 \]38940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 9280 |
| Square | 1516323600 |
| Cube | 59045640984000 |
| Square root | 197.332207 (= 2√9735) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.894 × |
38940 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and forty |
| Binary (base 2) | 1001100000011100 |
| Octal (base 8) | 114034 |
| Hexadecimal (base 16) | 981C |
| Base 3 | 1222102020 |
| As time | 38940 seconds = 10 h 49 min 0 s |
Is 38940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38940 ÷ 2 = 19470) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38940 ÷ 3 = 12980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38940 ÷ 4 = 9735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38940 ÷ 5 = 7788) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38940 ÷ 6 = 6490) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38940 ÷ 10 = 3894) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38940 ÷ 11 = 3540) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38940 ÷ 12 = 3245) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38940 a prime number?
No. 38940 = × 3 × 5 × 11 × 59, so it is divisible by 2.
What are the factors of 38940?
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 59, 60, 66, 110, 118, 132, 165, 177, 220, 236, 295, 330, 354, 590, 649, 660, 708, 885, 1180, 1298, 1770, 1947, 2596, 3245, 3540, 3894, 6490, 7788, 9735, 12980, 19470, 38940.
What is 38940 in binary?
1001100000011100 (hexadecimal 981C, octal 114034).
What is the square root of 38940?
About 197.3322, exactly 2√9735.
Is 38940 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38940?
It is a composite number with 48 divisors.