The number 80802
80802 is a composite number with 18 divisors. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206, 4489, 8978, 13467, 26934 … 80802.
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How to work it out
- 1
What is special about 80802: a Harshad number: divisible by its digit sum 18.
- 2
80802 is composite. Its prime factorisation is
- 3
The divisors add up to 177723; without 80802 itself that is 96921, so 80802 is abundant (96921 is more than 80802). Euler's totient φ(80802) = 26532 numbers up to 80802 share no factor with it.
- 4
The digits of 80802 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80802 = 2 \times 3^{2} \times 67^{2} \]80802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 177723 |
| Euler totient φ(n) | 26532 |
| Square | 6528963204 |
| Cube | 527553284809608 |
| Square root | 284.256926 (= 201√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0802 × |
80802 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and two |
| Binary (base 2) | 10011101110100010 |
| Octal (base 8) | 235642 |
| Hexadecimal (base 16) | 13BA2 |
| Base 3 | 11002211200 |
| As time | 80802 seconds = 22 h 26 min 42 s |
Is 80802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80802 ÷ 2 = 40401) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80802 ÷ 3 = 26934) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (80802 ÷ 6 = 13467) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80802 ÷ 9 = 8978) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80802 a prime number?
No. 80802 = 2 × × , so it is divisible by 2.
What are the factors of 80802?
1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206, 4489, 8978, 13467, 26934, 40401, 80802.
What is 80802 in binary?
10011101110100010 (hexadecimal 13BA2, octal 235642).
What is the square root of 80802?
About 284.2569, exactly 201√2.
Is 80802 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80802?
80802 is a Harshad number: divisible by its digit sum 18.