The number 80001
80001 is a composite number with 8 divisors. Its prime factorisation is × 2963. Divisors (8): 1, 3, 9, 27, 2963, 8889, 26667, 80001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80001: a Harshad number: divisible by its digit sum 9.
- 2
80001 is composite. Its prime factorisation is
- 3
The divisors add up to 118560; without 80001 itself that is 38559, so 80001 is deficient (38559 is less than 80001). Euler's totient φ(80001) = 53316 numbers up to 80001 share no factor with it.
- 4
The digits of 80001 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80001 = 3^{3} \times 2963 \]80001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 118560 |
| Euler totient φ(n) | 53316 |
| Square | 6400160001 |
| Cube | 512019200240001 |
| Square root | 282.844480 (= 3√8889) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0001 × |
80001 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and one |
| Binary (base 2) | 10011100010000001 |
| Octal (base 8) | 234201 |
| Hexadecimal (base 16) | 13881 |
| Base 3 | 11001202000 |
| As time | 80001 seconds = 22 h 13 min 21 s |
Is 80001 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 | Yes (80001 ÷ 3 = 26667) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (80001 ÷ 9 = 8889) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80001 a prime number?
No. 80001 = × 2963, so it is divisible by 3.
What are the factors of 80001?
1, 3, 9, 27, 2963, 8889, 26667, 80001.
What is 80001 in binary?
10011100010000001 (hexadecimal 13881, octal 234201).
What is the square root of 80001?
About 282.8445, exactly 3√8889.
Is 80001 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 80001?
80001 is a Harshad number: divisible by its digit sum 9.