The number 38740
38740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 149. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 149, 260, 298, 596, 745 … 38740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38740 is composite. Its prime factorisation is
- 3
The divisors add up to 88200; without 38740 itself that is 49460, so 38740 is abundant (49460 is more than 38740). Euler's totient φ(38740) = 14208 numbers up to 38740 share no factor with it.
- 4
The digits of 38740 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 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38740 = 2^{2} \times 5 \times 13 \times 149 \]38740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 88200 |
| Euler totient φ(n) | 14208 |
| Square | 1500787600 |
| Cube | 58140511624000 |
| Square root | 196.824795 (= 2√9685) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.874 × |
38740 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and forty |
| Binary (base 2) | 1001011101010100 |
| Octal (base 8) | 113524 |
| Hexadecimal (base 16) | 9754 |
| Base 3 | 1222010211 |
| As time | 38740 seconds = 10 h 45 min 40 s |
Is 38740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38740 ÷ 2 = 19370) | 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 (38740 ÷ 4 = 9685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38740 ÷ 5 = 7748) | 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 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38740 ÷ 10 = 3874) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 38740 a prime number?
No. 38740 = × 5 × 13 × 149, so it is divisible by 2.
What are the factors of 38740?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 149, 260, 298, 596, 745, 1490, 1937, 2980, 3874, 7748, 9685, 19370, 38740.
What is 38740 in binary?
1001011101010100 (hexadecimal 9754, octal 113524).
What is the square root of 38740?
About 196.8248, exactly 2√9685.
Is 38740 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38740?
It is a composite number with 24 divisors.