The number 80496
80496 is a composite number with 60 divisors. Its prime factorisation is × × 13 × 43. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 43 … 80496.
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How to work it out
- 1
80496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80496 is composite. Its prime factorisation is
- 3
The divisors add up to 248248; without 80496 itself that is 167752, so 80496 is abundant (167752 is more than 80496). Euler's totient φ(80496) = 24192 numbers up to 80496 share no factor with it.
- 4
The digits of 80496 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80496 = 2^{4} \times 3^{2} \times 13 \times 43 \]80496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 248248 |
| Euler totient φ(n) | 24192 |
| Square | 6479606016 |
| Cube | 521582365863936 |
| Square root | 283.718170 (= 12√559) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0496 × |
80496 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and ninety-six |
| Binary (base 2) | 10011101001110000 |
| Octal (base 8) | 235160 |
| Hexadecimal (base 16) | 13A70 |
| Base 3 | 11002102100 |
| As time | 80496 seconds = 22 h 21 min 36 s |
Is 80496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80496 ÷ 2 = 40248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80496 ÷ 3 = 26832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80496 ÷ 4 = 20124) | 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 (80496 ÷ 6 = 13416) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (80496 ÷ 8 = 10062) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80496 ÷ 9 = 8944) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80496 ÷ 12 = 6708) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80496 a prime number?
No. 80496 = × × 13 × 43, so it is divisible by 2.
What are the factors of 80496?
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 43, 48, 52, 72, 78, 86, 104, 117, 129, 144, 156, 172, 208, 234, 258, 312, 344, 387, 468, 516, 559, 624, 688, 774, 936, 1032, 1118, 1548, 1677, 1872, 2064, 2236, 3096, 3354, 4472, 5031, 6192, 6708, 8944, 10062, 13416, 20124, 26832, 40248, 80496.
What is 80496 in binary?
10011101001110000 (hexadecimal 13A70, octal 235160).
What is the square root of 80496?
About 283.7182, exactly 12√559.
Is 80496 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80496?
It is a composite number with 60 divisors.