The number 81301
81301 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 389. Divisors (8): 1, 11, 19, 209, 389, 4279, 7391, 81301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
81301 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
81301 is composite. Its prime factorisation is
- 3
The divisors add up to 93600; without 81301 itself that is 12299, so 81301 is deficient (12299 is less than 81301). Euler's totient φ(81301) = 69840 numbers up to 81301 share no factor with it.
- 4
The digits of 81301 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 81301 = 11 \times 19 \times 389 \]
81301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93600 |
| Euler totient φ(n) | 69840 |
| Square | 6609852601 |
| Cube | 537387626313901 |
| Square root | 285.133302 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.1301 × |
81301 in other forms
| Form | Value |
|---|---|
| In words | eighty-one thousand three hundred and one |
| Binary (base 2) | 10011110110010101 |
| Octal (base 8) | 236625 |
| Hexadecimal (base 16) | 13D95 |
| Base 3 | 11010112011 |
| As time | 81301 seconds = 22 h 35 min 1 s |
Is 81301 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 (81301 ÷ 11 = 7391) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 81301 a prime number?
No. 81301 = 11 × 19 × 389, so it is divisible by 11.
What are the factors of 81301?
1, 11, 19, 209, 389, 4279, 7391, 81301.
What is 81301 in binary?
10011110110010101 (hexadecimal 13D95, octal 236625).
What is the square root of 81301?
About 285.1333.
Is 81301 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 81301?
It is a composite number with 8 divisors.