The number 80201
80201 is a composite number with 8 divisors. Its prime factorisation is 11 × 23 × 317. Divisors (8): 1, 11, 23, 253, 317, 3487, 7291, 80201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80201: a Harshad number: divisible by its digit sum 11.
- 2
80201 is composite. Its prime factorisation is
- 3
The divisors add up to 91584; without 80201 itself that is 11383, so 80201 is deficient (11383 is less than 80201). Euler's totient φ(80201) = 69520 numbers up to 80201 share no factor with it.
- 4
The digits of 80201 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80201 = 11 \times 23 \times 317 \]
80201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91584 |
| Euler totient φ(n) | 69520 |
| Square | 6432200401 |
| Cube | 515868904360601 |
| Square root | 283.197811 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0201 × |
80201 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and one |
| Binary (base 2) | 10011100101001001 |
| Octal (base 8) | 234511 |
| Hexadecimal (base 16) | 13949 |
| Base 3 | 11002000102 |
| As time | 80201 seconds = 22 h 16 min 41 s |
Is 80201 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 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80201 ÷ 11 = 7291) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80201 a prime number?
No. 80201 = 11 × 23 × 317, so it is divisible by 11.
What are the factors of 80201?
1, 11, 23, 253, 317, 3487, 7291, 80201.
What is 80201 in binary?
10011100101001001 (hexadecimal 13949, octal 234511).
What is the square root of 80201?
About 283.1978.
Is 80201 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 80201?
80201 is a Harshad number: divisible by its digit sum 11.