The number 8193
8193 is a binary palindrome (10000000000001). Its prime factorisation is 3 × 2731. Divisors (4): 1, 3, 2731, 8193.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8193: a binary palindrome (10000000000001); a semiprime: 3 × 2731, the product of two primes.
- 2
8193 is composite. Its prime factorisation is
- 3
The divisors add up to 10928; without 8193 itself that is 2735, so 8193 is deficient (2735 is less than 8193). Euler's totient φ(8193) = 5460 numbers up to 8193 share no factor with it.
- 4
The digits of 8193 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8193 = 3 \times 2731 \]
8193 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10928 |
| Euler totient φ(n) | 5460 |
| Square | 67125249 |
| Cube | 549957165057 |
| Square root | 90.515192 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.193 × |
8193 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and ninety-three |
| Binary (base 2) | 10000000000001 |
| Octal (base 8) | 20001 |
| Hexadecimal (base 16) | 2001 |
| Base 3 | 102020110 |
| As time | 8193 seconds = 2 h 16 min 33 s |
Is 8193 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 (8193 ÷ 3 = 2731) | 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 3) | 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 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 1) | 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 3) | 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 8193 a prime number?
No. 8193 = 3 × 2731, so it is divisible by 3.
What are the factors of 8193?
1, 3, 2731, 8193.
What is 8193 in binary?
10000000000001 (hexadecimal 2001, octal 20001).
What is the square root of 8193?
About 90.5152.
Is 8193 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8193?
8193 is a binary palindrome (10000000000001); a semiprime: 3 × 2731, the product of two primes.