The number 8478
8478 is a composite number with 16 divisors. Its prime factorisation is 2 × × 157. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478.
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How to work it out
- 1
What is special about 8478: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
8478 is composite. Its prime factorisation is
- 3
The divisors add up to 18960; without 8478 itself that is 10482, so 8478 is abundant (10482 is more than 8478). Euler's totient φ(8478) = 2808 numbers up to 8478 share no factor with it.
- 4
The digits of 8478 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8478 = 2 \times 3^{3} \times 157 \]8478 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18960 |
| Euler totient φ(n) | 2808 |
| Square | 71876484 |
| Cube | 609368831352 |
| Square root | 92.076056 (= 3√942) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 8.478 × |
8478 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and seventy-eight |
| Binary (base 2) | 10000100011110 |
| Octal (base 8) | 20436 |
| Hexadecimal (base 16) | 211E |
| Base 3 | 102122000 |
| As time | 8478 seconds = 2 h 21 min 18 s |
Is 8478 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8478 ÷ 2 = 4239) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8478 ÷ 3 = 2826) | 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 (8478 ÷ 6 = 1413) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8478 ÷ 9 = 942) | 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 | No (remainder 8) | 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 8478 a prime number?
No. 8478 = 2 × × 157, so it is divisible by 2.
What are the factors of 8478?
1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478.
What is 8478 in binary?
10000100011110 (hexadecimal 211E, octal 20436).
What is the square root of 8478?
About 92.0761, exactly 3√942.
Is 8478 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8478?
8478 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.