The number 80769
80769 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 19 × 109. Divisors (16): 1, 3, 13, 19, 39, 57, 109, 247, 327, 741, 1417, 2071, 4251, 6213, 26923, 80769.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80769: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80769 is composite. Its prime factorisation is
- 3
The divisors add up to 123200; without 80769 itself that is 42431, so 80769 is deficient (42431 is less than 80769). Euler's totient φ(80769) = 46656 numbers up to 80769 share no factor with it.
- 4
The digits of 80769 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80769 = 3 \times 13 \times 19 \times 109 \]
80769 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123200 |
| Euler totient φ(n) | 46656 |
| Square | 6523631361 |
| Cube | 526907181396609 |
| Square root | 284.198874 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.0769 × |
80769 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and sixty-nine |
| Binary (base 2) | 10011101110000001 |
| Octal (base 8) | 235601 |
| Hexadecimal (base 16) | 13B81 |
| Base 3 | 11002210110 |
| As time | 80769 seconds = 22 h 26 min 9 s |
Is 80769 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 (80769 ÷ 3 = 26923) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | No (remainder 1) | 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 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80769 a prime number?
No. 80769 = 3 × 13 × 19 × 109, so it is divisible by 3.
What are the factors of 80769?
1, 3, 13, 19, 39, 57, 109, 247, 327, 741, 1417, 2071, 4251, 6213, 26923, 80769.
What is 80769 in binary?
10011101110000001 (hexadecimal 13B81, octal 235601).
What is the square root of 80769?
About 284.1989.
Is 80769 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 80769?
80769 is a happy number: repeatedly adding the squares of its digits reaches 1.