The number 38478
38478 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 53. Divisors (24): 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 121, 159, 242, 318, 363, 583 … 38478.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38478 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38478 is composite. Its prime factorisation is
- 3
The divisors add up to 86184; without 38478 itself that is 47706, so 38478 is abundant (47706 is more than 38478). Euler's totient φ(38478) = 11440 numbers up to 38478 share no factor with it.
- 4
The digits of 38478 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38478 = 2 \times 3 \times 11^{2} \times 53 \]38478 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 86184 |
| Euler totient φ(n) | 11440 |
| Square | 1480556484 |
| Cube | 56968852391352 |
| Square root | 196.158100 (= 11√318) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8478 × |
38478 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and seventy-eight |
| Binary (base 2) | 1001011001001110 |
| Octal (base 8) | 113116 |
| Hexadecimal (base 16) | 964E |
| Base 3 | 1221210010 |
| As time | 38478 seconds = 10 h 41 min 18 s |
Is 38478 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38478 ÷ 2 = 19239) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38478 ÷ 3 = 12826) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38478 ÷ 6 = 6413) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38478 ÷ 11 = 3498) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38478 a prime number?
No. 38478 = 2 × 3 × × 53, so it is divisible by 2.
What are the factors of 38478?
1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 121, 159, 242, 318, 363, 583, 726, 1166, 1749, 3498, 6413, 12826, 19239, 38478.
What is 38478 in binary?
1001011001001110 (hexadecimal 964E, octal 113116).
What is the square root of 38478?
About 196.1581, exactly 11√318.
Is 38478 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38478?
It is a composite number with 24 divisors.