The number 80262
80262 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 13. Divisors (48): 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 49, 63, 78 … 80262.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80262: a Harshad number: divisible by its digit sum 18.
- 2
80262 is composite. Its prime factorisation is
- 3
The divisors add up to 218400; without 80262 itself that is 138138, so 80262 is abundant (138138 is more than 80262). Euler's totient φ(80262) = 21168 numbers up to 80262 share no factor with it.
- 4
The digits of 80262 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80262 = 2 \times 3^{2} \times 7^{3} \times 13 \]80262 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 218400 |
| Euler totient φ(n) | 21168 |
| Square | 6441988644 |
| Cube | 517046892544728 |
| Square root | 283.305489 (= 21√182) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0262 × |
80262 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and sixty-two |
| Binary (base 2) | 10011100110000110 |
| Octal (base 8) | 234606 |
| Hexadecimal (base 16) | 13986 |
| Base 3 | 11002002200 |
| As time | 80262 seconds = 22 h 17 min 42 s |
Is 80262 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80262 ÷ 2 = 40131) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80262 ÷ 3 = 26754) | 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 (80262 ÷ 6 = 13377) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80262 ÷ 7 = 11466) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80262 ÷ 9 = 8918) | 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 6) | 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 80262 a prime number?
No. 80262 = 2 × × × 13, so it is divisible by 2.
What are the factors of 80262?
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 49, 63, 78, 91, 98, 117, 126, 147, 182, 234, 273, 294, 343, 441, 546, 637, 686, 819, 882, 1029, 1274, 1638, 1911, 2058, 3087, 3822, 4459, 5733, 6174, 8918, 11466, 13377, 26754, 40131, 80262.
What is 80262 in binary?
10011100110000110 (hexadecimal 13986, octal 234606).
What is the square root of 80262?
About 283.3055, exactly 21√182.
Is 80262 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80262?
80262 is a Harshad number: divisible by its digit sum 18.