The number 8301
8301 is a composite number with 4 divisors. Its prime factorisation is 3 × 2767. Divisors (4): 1, 3, 2767, 8301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8301: a semiprime: 3 × 2767, the product of two primes.
- 2
8301 is composite. Its prime factorisation is
- 3
The divisors add up to 11072; without 8301 itself that is 2771, so 8301 is deficient (2771 is less than 8301). Euler's totient φ(8301) = 5532 numbers up to 8301 share no factor with it.
- 4
The digits of 8301 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8301 = 3 \times 2767 \]
8301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11072 |
| Euler totient φ(n) | 5532 |
| Square | 68906601 |
| Cube | 571993694901 |
| Square root | 91.109824 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.301 × |
8301 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and one |
| Binary (base 2) | 10000001101101 |
| Octal (base 8) | 20155 |
| Hexadecimal (base 16) | 206D |
| Base 3 | 102101110 |
| As time | 8301 seconds = 2 h 18 min 21 s |
Is 8301 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 (8301 ÷ 3 = 2767) | 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 6) | 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 7) | 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 8301 a prime number?
No. 8301 = 3 × 2767, so it is divisible by 3.
What are the factors of 8301?
1, 3, 2767, 8301.
What is 8301 in binary?
10000001101101 (hexadecimal 206D, octal 20155).
What is the square root of 8301?
About 91.1098.
Is 8301 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 8301?
8301 is a semiprime: 3 × 2767, the product of two primes.