The number 8113
8113 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 61. Divisors (8): 1, 7, 19, 61, 133, 427, 1159, 8113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8113 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8113 is composite. Its prime factorisation is
- 3
The divisors add up to 9920; without 8113 itself that is 1807, so 8113 is deficient (1807 is less than 8113). Euler's totient φ(8113) = 6480 numbers up to 8113 share no factor with it.
- 4
The digits of 8113 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8113 = 7 \times 19 \times 61 \]
8113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9920 |
| Euler totient φ(n) | 6480 |
| Square | 65820769 |
| Cube | 534003898897 |
| Square root | 90.072193 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.113 × |
8113 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and thirteen |
| Binary (base 2) | 1111110110001 |
| Octal (base 8) | 17661 |
| Hexadecimal (base 16) | 1FB1 |
| Base 3 | 102010111 |
| As time | 8113 seconds = 2 h 15 min 13 s |
Is 8113 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 3) | 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 | Yes (8113 ÷ 7 = 1159) | 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 4) | 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 6) | 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 8113 a prime number?
No. 8113 = 7 × 19 × 61, so it is divisible by 7.
What are the factors of 8113?
1, 7, 19, 61, 133, 427, 1159, 8113.
What is 8113 in binary?
1111110110001 (hexadecimal 1FB1, octal 17661).
What is the square root of 8113?
About 90.0722.
Is 8113 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8113?
It is a composite number with 8 divisors.