The number 38140
38140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1907. Divisors (12): 1, 2, 4, 5, 10, 20, 1907, 3814, 7628, 9535, 19070, 38140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38140 is composite. Its prime factorisation is
- 3
The divisors add up to 80136; without 38140 itself that is 41996, so 38140 is abundant (41996 is more than 38140). Euler's totient φ(38140) = 15248 numbers up to 38140 share no factor with it.
- 4
The digits of 38140 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38140 = 2^{2} \times 5 \times 1907 \]38140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80136 |
| Euler totient φ(n) | 15248 |
| Square | 1454659600 |
| Cube | 55480717144000 |
| Square root | 195.294649 (= 2√9535) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.814 × |
38140 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and forty |
| Binary (base 2) | 1001010011111100 |
| Octal (base 8) | 112374 |
| Hexadecimal (base 16) | 94FC |
| Base 3 | 1221022121 |
| As time | 38140 seconds = 10 h 35 min 40 s |
Is 38140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38140 ÷ 2 = 19070) | 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 (38140 ÷ 4 = 9535) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38140 ÷ 5 = 7628) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38140 ÷ 10 = 3814) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 38140 a prime number?
No. 38140 = × 5 × 1907, so it is divisible by 2.
What are the factors of 38140?
1, 2, 4, 5, 10, 20, 1907, 3814, 7628, 9535, 19070, 38140.
What is 38140 in binary?
1001010011111100 (hexadecimal 94FC, octal 112374).
What is the square root of 38140?
About 195.2946, exactly 2√9535.
Is 38140 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 38140?
It is a composite number with 12 divisors.