The number 8476
8476 is a composite number with 12 divisors. Its prime factorisation is × 13 × 163. Divisors (12): 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8476 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8476 is composite. Its prime factorisation is
- 3
The divisors add up to 16072; without 8476 itself that is 7596, so 8476 is deficient (7596 is less than 8476). Euler's totient φ(8476) = 3888 numbers up to 8476 share no factor with it.
- 4
The digits of 8476 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8476 = 2^{2} \times 13 \times 163 \]8476 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16072 |
| Euler totient φ(n) | 3888 |
| Square | 71842576 |
| Cube | 608937674176 |
| Square root | 92.065194 (= 2√2119) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 83 |
| Scientific notation | 8.476 × |
8476 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and seventy-six |
| Binary (base 2) | 10000100011100 |
| Octal (base 8) | 20434 |
| Hexadecimal (base 16) | 211C |
| Base 3 | 102121221 |
| As time | 8476 seconds = 2 h 21 min 16 s |
Is 8476 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8476 ÷ 2 = 4238) | 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 (8476 ÷ 4 = 2119) | 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 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 6) | 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 8476 a prime number?
No. 8476 = × 13 × 163, so it is divisible by 2.
What are the factors of 8476?
1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476.
What is 8476 in binary?
10000100011100 (hexadecimal 211C, octal 20434).
What is the square root of 8476?
About 92.0652, exactly 2√2119.
Is 8476 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8476?
It is a composite number with 12 divisors.