The number 80801
80801 is a composite number with 12 divisors. Its prime factorisation is × 17 × 97. Divisors (12): 1, 7, 17, 49, 97, 119, 679, 833, 1649, 4753, 11543, 80801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80801: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
80801 is composite. Its prime factorisation is
- 3
The divisors add up to 100548; without 80801 itself that is 19747, so 80801 is deficient (19747 is less than 80801). Euler's totient φ(80801) = 64512 numbers up to 80801 share no factor with it.
- 4
The digits of 80801 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80801 = 7^{2} \times 17 \times 97 \]80801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100548 |
| Euler totient φ(n) | 64512 |
| Square | 6528801601 |
| Cube | 527533698162401 |
| Square root | 284.255167 (= 7√1649) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0801 × |
80801 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and one |
| Binary (base 2) | 10011101110100001 |
| Octal (base 8) | 235641 |
| Hexadecimal (base 16) | 13BA1 |
| Base 3 | 11002211122 |
| As time | 80801 seconds = 22 h 26 min 41 s |
Is 80801 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 | Yes (80801 ÷ 7 = 11543) | 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 8) | 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 | No (remainder 6) | 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 80801 a prime number?
No. 80801 = × 17 × 97, so it is divisible by 7.
What are the factors of 80801?
1, 7, 17, 49, 97, 119, 679, 833, 1649, 4753, 11543, 80801.
What is 80801 in binary?
10011101110100001 (hexadecimal 13BA1, octal 235641).
What is the square root of 80801?
About 284.2552, exactly 7√1649.
Is 80801 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80801?
80801 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.