The number 38676
38676 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 293. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 293, 586, 879, 1172 … 38676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38676 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 38676 itself that is 60108, so 38676 is abundant (60108 is more than 38676). Euler's totient φ(38676) = 11680 numbers up to 38676 share no factor with it.
- 4
The digits of 38676 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38676 = 2^{2} \times 3 \times 11 \times 293 \]38676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 11680 |
| Square | 1495832976 |
| Cube | 57852836179776 |
| Square root | 196.662147 (= 2√9669) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.8676 × |
38676 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and seventy-six |
| Binary (base 2) | 1001011100010100 |
| Octal (base 8) | 113424 |
| Hexadecimal (base 16) | 9714 |
| Base 3 | 1222001110 |
| As time | 38676 seconds = 10 h 44 min 36 s |
Is 38676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38676 ÷ 2 = 19338) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38676 ÷ 3 = 12892) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38676 ÷ 4 = 9669) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38676 ÷ 6 = 6446) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38676 ÷ 11 = 3516) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38676 ÷ 12 = 3223) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38676 a prime number?
No. 38676 = × 3 × 11 × 293, so it is divisible by 2.
What are the factors of 38676?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 293, 586, 879, 1172, 1758, 3223, 3516, 6446, 9669, 12892, 19338, 38676.
What is 38676 in binary?
1001011100010100 (hexadecimal 9714, octal 113424).
What is the square root of 38676?
About 196.6621, exactly 2√9669.
Is 38676 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38676?
It is a composite number with 24 divisors.