The number 80736
80736 is a composite number with 36 divisors. Its prime factorisation is × 3 × . Divisors (36): 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116 … 80736.
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How to work it out
- 1
What is special about 80736: a Harshad number: divisible by its digit sum 24.
- 2
80736 is composite. Its prime factorisation is
- 3
The divisors add up to 219492; without 80736 itself that is 138756, so 80736 is abundant (138756 is more than 80736). Euler's totient φ(80736) = 25984 numbers up to 80736 share no factor with it.
- 4
The digits of 80736 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80736 = 2^{5} \times 3 \times 29^{2} \]80736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 219492 |
| Euler totient φ(n) | 25984 |
| Square | 6518301696 |
| Cube | 526261605728256 |
| Square root | 284.140810 (= 116√6) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0736 × |
80736 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and thirty-six |
| Binary (base 2) | 10011101101100000 |
| Octal (base 8) | 235540 |
| Hexadecimal (base 16) | 13B60 |
| Base 3 | 11002202020 |
| As time | 80736 seconds = 22 h 25 min 36 s |
Is 80736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80736 ÷ 2 = 40368) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80736 ÷ 3 = 26912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80736 ÷ 4 = 20184) | 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 (80736 ÷ 6 = 13456) | 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 (80736 ÷ 8 = 10092) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80736 ÷ 12 = 6728) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80736 a prime number?
No. 80736 = × 3 × , so it is divisible by 2.
What are the factors of 80736?
1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 841, 928, 1392, 1682, 2523, 2784, 3364, 5046, 6728, 10092, 13456, 20184, 26912, 40368, 80736.
What is 80736 in binary?
10011101101100000 (hexadecimal 13B60, octal 235540).
What is the square root of 80736?
About 284.1408, exactly 116√6.
Is 80736 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 80736?
80736 is a Harshad number: divisible by its digit sum 24.