The number 80676
80676 is a composite number with 36 divisors. Its prime factorisation is × × 83. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 83, 108, 162, 166 … 80676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80676: a Harshad number: divisible by its digit sum 27.
- 2
80676 is composite. Its prime factorisation is
- 3
The divisors add up to 214032; without 80676 itself that is 133356, so 80676 is abundant (133356 is more than 80676). Euler's totient φ(80676) = 26568 numbers up to 80676 share no factor with it.
- 4
The digits of 80676 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80676 = 2^{2} \times 3^{5} \times 83 \]80676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 214032 |
| Euler totient φ(n) | 26568 |
| Square | 6508616976 |
| Cube | 525089183155776 |
| Square root | 284.035209 (= 18√249) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0676 × |
80676 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand six hundred and seventy-six |
| Binary (base 2) | 10011101100100100 |
| Octal (base 8) | 235444 |
| Hexadecimal (base 16) | 13B24 |
| Base 3 | 11002200000 |
| As time | 80676 seconds = 22 h 24 min 36 s |
Is 80676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80676 ÷ 2 = 40338) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80676 ÷ 3 = 26892) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80676 ÷ 4 = 20169) | 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 (80676 ÷ 6 = 13446) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80676 ÷ 9 = 8964) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80676 ÷ 12 = 6723) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80676 a prime number?
No. 80676 = × × 83, so it is divisible by 2.
What are the factors of 80676?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 83, 108, 162, 166, 243, 249, 324, 332, 486, 498, 747, 972, 996, 1494, 2241, 2988, 4482, 6723, 8964, 13446, 20169, 26892, 40338, 80676.
What is 80676 in binary?
10011101100100100 (hexadecimal 13B24, octal 235444).
What is the square root of 80676?
About 284.0352, exactly 18√249.
Is 80676 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80676?
80676 is a Harshad number: divisible by its digit sum 27.