The number 80487
80487 is a composite number with 16 divisors. Its prime factorisation is × 11 × 271. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 271, 297, 813, 2439, 2981, 7317, 8943, 26829, 80487.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80487: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
80487 is composite. Its prime factorisation is
- 3
The divisors add up to 130560; without 80487 itself that is 50073, so 80487 is deficient (50073 is less than 80487). Euler's totient φ(80487) = 48600 numbers up to 80487 share no factor with it.
- 4
The digits of 80487 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 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80487 = 3^{3} \times 11 \times 271 \]80487 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 130560 |
| Euler totient φ(n) | 48600 |
| Square | 6478157169 |
| Cube | 521407436061303 |
| Square root | 283.702309 (= 3√8943) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0487 × |
80487 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and eighty-seven |
| Binary (base 2) | 10011101001100111 |
| Octal (base 8) | 235147 |
| Hexadecimal (base 16) | 13A67 |
| Base 3 | 11002102000 |
| As time | 80487 seconds = 22 h 21 min 27 s |
Is 80487 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80487 ÷ 3 = 26829) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80487 ÷ 9 = 8943) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80487 ÷ 11 = 7317) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80487 a prime number?
No. 80487 = × 11 × 271, so it is divisible by 3.
What are the factors of 80487?
1, 3, 9, 11, 27, 33, 99, 271, 297, 813, 2439, 2981, 7317, 8943, 26829, 80487.
What is 80487 in binary?
10011101001100111 (hexadecimal 13A67, octal 235147).
What is the square root of 80487?
About 283.7023, exactly 3√8943.
Is 80487 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80487?
80487 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.