The number 8138
8138 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 313. Divisors (8): 1, 2, 13, 26, 313, 626, 4069, 8138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8138 is composite. Its prime factorisation is
- 3
The divisors add up to 13188; without 8138 itself that is 5050, so 8138 is deficient (5050 is less than 8138). Euler's totient φ(8138) = 3744 numbers up to 8138 share no factor with it.
- 4
The digits of 8138 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8138 = 2 \times 13 \times 313 \]
8138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13188 |
| Euler totient φ(n) | 3744 |
| Square | 66227044 |
| Cube | 538955684072 |
| Square root | 90.210864 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.138 × |
8138 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and thirty-eight |
| Binary (base 2) | 1111111001010 |
| Octal (base 8) | 17712 |
| Hexadecimal (base 16) | 1FCA |
| Base 3 | 102011102 |
| As time | 8138 seconds = 2 h 15 min 38 s |
Is 8138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8138 ÷ 2 = 4069) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8138 a prime number?
No. 8138 = 2 × 13 × 313, so it is divisible by 2.
What are the factors of 8138?
1, 2, 13, 26, 313, 626, 4069, 8138.
What is 8138 in binary?
1111111001010 (hexadecimal 1FCA, octal 17712).
What is the square root of 8138?
About 90.2109.
Is 8138 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8138?
It is a composite number with 8 divisors.