The number 8496
8496 is a composite number with 30 divisors. Its prime factorisation is × × 59. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118 … 8496.
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How to work it out
- 1
8496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8496 is composite. Its prime factorisation is
- 3
The divisors add up to 24180; without 8496 itself that is 15684, so 8496 is abundant (15684 is more than 8496). Euler's totient φ(8496) = 2784 numbers up to 8496 share no factor with it.
- 4
The digits of 8496 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8496 = 2^{4} \times 3^{2} \times 59 \]8496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 24180 |
| Euler totient φ(n) | 2784 |
| Square | 72182016 |
| Cube | 613258407936 |
| Square root | 92.173749 (= 12√59) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.496 × |
8496 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and ninety-six |
| Binary (base 2) | 10000100110000 |
| Octal (base 8) | 20460 |
| Hexadecimal (base 16) | 2130 |
| Base 3 | 102122200 |
| As time | 8496 seconds = 2 h 21 min 36 s |
Is 8496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8496 ÷ 2 = 4248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8496 ÷ 3 = 2832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8496 ÷ 4 = 2124) | 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 (8496 ÷ 6 = 1416) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (8496 ÷ 8 = 1062) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8496 ÷ 9 = 944) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8496 ÷ 12 = 708) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8496 a prime number?
No. 8496 = × × 59, so it is divisible by 2.
What are the factors of 8496?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496.
What is 8496 in binary?
10000100110000 (hexadecimal 2130, octal 20460).
What is the square root of 8496?
About 92.1737, exactly 12√59.
Is 8496 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8496?
It is a composite number with 30 divisors.