The number 80787
80787 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3847. Divisors (8): 1, 3, 7, 21, 3847, 11541, 26929, 80787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80787: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80787 is composite. Its prime factorisation is
- 3
The divisors add up to 123136; without 80787 itself that is 42349, so 80787 is deficient (42349 is less than 80787). Euler's totient φ(80787) = 46152 numbers up to 80787 share no factor with it.
- 4
The digits of 80787 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80787 = 3 \times 7 \times 3847 \]
80787 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 123136 |
| Euler totient φ(n) | 46152 |
| Square | 6526539369 |
| Cube | 527259536003403 |
| Square root | 284.230540 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0787 × |
80787 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and eighty-seven |
| Binary (base 2) | 10011101110010011 |
| Octal (base 8) | 235623 |
| Hexadecimal (base 16) | 13B93 |
| Base 3 | 11002211010 |
| As time | 80787 seconds = 22 h 26 min 27 s |
Is 80787 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 (80787 ÷ 3 = 26929) | 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 | Yes (80787 ÷ 7 = 11541) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 3) | 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 80787 a prime number?
No. 80787 = 3 × 7 × 3847, so it is divisible by 3.
What are the factors of 80787?
1, 3, 7, 21, 3847, 11541, 26929, 80787.
What is 80787 in binary?
10011101110010011 (hexadecimal 13B93, octal 235623).
What is the square root of 80787?
About 284.2305.
Is 80787 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 80787?
80787 is a happy number: repeatedly adding the squares of its digits reaches 1.