The number 28301
28301 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 311. Divisors (8): 1, 7, 13, 91, 311, 2177, 4043, 28301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28301 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28301 is composite. Its prime factorisation is
- 3
The divisors add up to 34944; without 28301 itself that is 6643, so 28301 is deficient (6643 is less than 28301). Euler's totient φ(28301) = 22320 numbers up to 28301 share no factor with it.
- 4
The digits of 28301 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28301 = 7 \times 13 \times 311 \]
28301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34944 |
| Euler totient φ(n) | 22320 |
| Square | 800946601 |
| Cube | 22667589754901 |
| Square root | 168.229011 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.8301 × |
28301 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand three hundred and one |
| Binary (base 2) | 110111010001101 |
| Octal (base 8) | 67215 |
| Hexadecimal (base 16) | 6E8D |
| Base 3 | 1102211012 |
| As time | 28301 seconds = 7 h 51 min 41 s |
Is 28301 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 (28301 ÷ 7 = 4043) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28301 a prime number?
No. 28301 = 7 × 13 × 311, so it is divisible by 7.
What are the factors of 28301?
1, 7, 13, 91, 311, 2177, 4043, 28301.
What is 28301 in binary?
110111010001101 (hexadecimal 6E8D, octal 67215).
What is the square root of 28301?
About 168.2290.
Is 28301 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 28301?
It is a composite number with 8 divisors.