The number 80301
80301 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 29 × 71. Divisors (16): 1, 3, 13, 29, 39, 71, 87, 213, 377, 923, 1131, 2059, 2769, 6177, 26767, 80301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80301 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80301 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 80301 itself that is 40659, so 80301 is deficient (40659 is less than 80301). Euler's totient φ(80301) = 47040 numbers up to 80301 share no factor with it.
- 4
The digits of 80301 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80301 = 3 \times 13 \times 29 \times 71 \]
80301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 47040 |
| Square | 6448250601 |
| Cube | 517800971510901 |
| Square root | 283.374311 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0301 × |
80301 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and one |
| Binary (base 2) | 10011100110101101 |
| Octal (base 8) | 234655 |
| Hexadecimal (base 16) | 139AD |
| Base 3 | 11002011010 |
| As time | 80301 seconds = 22 h 18 min 21 s |
Is 80301 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 (80301 ÷ 3 = 26767) | 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | 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 80301 a prime number?
No. 80301 = 3 × 13 × 29 × 71, so it is divisible by 3.
What are the factors of 80301?
1, 3, 13, 29, 39, 71, 87, 213, 377, 923, 1131, 2059, 2769, 6177, 26767, 80301.
What is 80301 in binary?
10011100110101101 (hexadecimal 139AD, octal 234655).
What is the square root of 80301?
About 283.3743.
Is 80301 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 80301?
It is a composite number with 16 divisors.