The number 8134
8134 is a composite number with 12 divisors. Its prime factorisation is 2 × × 83. Divisors (12): 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8134 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8134 is composite. Its prime factorisation is
- 3
The divisors add up to 14364; without 8134 itself that is 6230, so 8134 is deficient (6230 is less than 8134). Euler's totient φ(8134) = 3444 numbers up to 8134 share no factor with it.
- 4
The digits of 8134 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8134 = 2 \times 7^{2} \times 83 \]8134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14364 |
| Euler totient φ(n) | 3444 |
| Square | 66161956 |
| Cube | 538161350104 |
| Square root | 90.188691 (= 7√166) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.134 × |
8134 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and thirty-four |
| Binary (base 2) | 1111111000110 |
| Octal (base 8) | 17706 |
| Hexadecimal (base 16) | 1FC6 |
| Base 3 | 102011021 |
| As time | 8134 seconds = 2 h 15 min 34 s |
Is 8134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8134 ÷ 2 = 4067) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8134 ÷ 7 = 1162) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8134 a prime number?
No. 8134 = 2 × × 83, so it is divisible by 2.
What are the factors of 8134?
1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134.
What is 8134 in binary?
1111111000110 (hexadecimal 1FC6, octal 17706).
What is the square root of 8134?
About 90.1887, exactly 7√166.
Is 8134 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 8134?
It is a composite number with 12 divisors.