The number 80712
80712 is a composite number with 48 divisors. Its prime factorisation is × × 19 × 59. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 59, 72 … 80712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80712: a Harshad number: divisible by its digit sum 18.
- 2
80712 is composite. Its prime factorisation is
- 3
The divisors add up to 234000; without 80712 itself that is 153288, so 80712 is abundant (153288 is more than 80712). Euler's totient φ(80712) = 25056 numbers up to 80712 share no factor with it.
- 4
The digits of 80712 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80712 = 2^{3} \times 3^{2} \times 19 \times 59 \]80712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 234000 |
| Euler totient φ(n) | 25056 |
| Square | 6514426944 |
| Cube | 525792427504128 |
| Square root | 284.098574 (= 6√2242) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0712 × |
80712 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and twelve |
| Binary (base 2) | 10011101101001000 |
| Octal (base 8) | 235510 |
| Hexadecimal (base 16) | 13B48 |
| Base 3 | 11002201100 |
| As time | 80712 seconds = 22 h 25 min 12 s |
Is 80712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80712 ÷ 2 = 40356) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80712 ÷ 3 = 26904) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80712 ÷ 4 = 20178) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80712 ÷ 6 = 13452) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (80712 ÷ 8 = 10089) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80712 ÷ 9 = 8968) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80712 ÷ 12 = 6726) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80712 a prime number?
No. 80712 = × × 19 × 59, so it is divisible by 2.
What are the factors of 80712?
1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 59, 72, 76, 114, 118, 152, 171, 177, 228, 236, 342, 354, 456, 472, 531, 684, 708, 1062, 1121, 1368, 1416, 2124, 2242, 3363, 4248, 4484, 6726, 8968, 10089, 13452, 20178, 26904, 40356, 80712.
What is 80712 in binary?
10011101101001000 (hexadecimal 13B48, octal 235510).
What is the square root of 80712?
About 284.0986, exactly 6√2242.
Is 80712 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80712?
80712 is a Harshad number: divisible by its digit sum 18.