The number 8736
8736 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 13. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32 … 8736.
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How to work it out
- 1
What is special about 8736: a Harshad number: divisible by its digit sum 24.
- 2
8736 is composite. Its prime factorisation is
- 3
The divisors add up to 28224; without 8736 itself that is 19488, so 8736 is abundant (19488 is more than 8736). Euler's totient φ(8736) = 2304 numbers up to 8736 share no factor with it.
- 4
The digits of 8736 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8736 = 2^{5} \times 3 \times 7 \times 13 \]8736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 28224 |
| Euler totient φ(n) | 2304 |
| Square | 76317696 |
| Cube | 666711392256 |
| Square root | 93.466572 (= 4√546) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.736 × |
8736 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and thirty-six |
| Binary (base 2) | 10001000100000 |
| Octal (base 8) | 21040 |
| Hexadecimal (base 16) | 2220 |
| Base 3 | 102222120 |
| As time | 8736 seconds = 2 h 25 min 36 s |
Is 8736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8736 ÷ 2 = 4368) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8736 ÷ 3 = 2912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8736 ÷ 4 = 2184) | 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 (8736 ÷ 6 = 1456) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8736 ÷ 7 = 1248) | 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 (8736 ÷ 8 = 1092) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8736 ÷ 12 = 728) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8736 a prime number?
No. 8736 = × 3 × 7 × 13, so it is divisible by 2.
What are the factors of 8736?
1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736.
What is 8736 in binary?
10001000100000 (hexadecimal 2220, octal 21040).
What is the square root of 8736?
About 93.4666, exactly 4√546.
Is 8736 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8736?
8736 is a Harshad number: divisible by its digit sum 24.