The number 38724
38724 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 461. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 461, 922, 1383, 1844 … 38724.
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How to work it out
- 1
38724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38724 is composite. Its prime factorisation is
- 3
The divisors add up to 103488; without 38724 itself that is 64764, so 38724 is abundant (64764 is more than 38724). Euler's totient φ(38724) = 11040 numbers up to 38724 share no factor with it.
- 4
The digits of 38724 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38724 = 2^{2} \times 3 \times 7 \times 461 \]38724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 103488 |
| Euler totient φ(n) | 11040 |
| Square | 1499548176 |
| Cube | 58068503567424 |
| Square root | 196.784146 (= 2√9681) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8724 × |
38724 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and twenty-four |
| Binary (base 2) | 1001011101000100 |
| Octal (base 8) | 113504 |
| Hexadecimal (base 16) | 9744 |
| Base 3 | 1222010020 |
| As time | 38724 seconds = 10 h 45 min 24 s |
Is 38724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38724 ÷ 2 = 19362) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38724 ÷ 3 = 12908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38724 ÷ 4 = 9681) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38724 ÷ 6 = 6454) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38724 ÷ 7 = 5532) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38724 ÷ 12 = 3227) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38724 a prime number?
No. 38724 = × 3 × 7 × 461, so it is divisible by 2.
What are the factors of 38724?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 461, 922, 1383, 1844, 2766, 3227, 5532, 6454, 9681, 12908, 19362, 38724.
What is 38724 in binary?
1001011101000100 (hexadecimal 9744, octal 113504).
What is the square root of 38724?
About 196.7841, exactly 2√9681.
Is 38724 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38724?
It is a composite number with 24 divisors.