The number 5138
5138 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 367. Divisors (8): 1, 2, 7, 14, 367, 734, 2569, 5138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5138 is composite. Its prime factorisation is
- 3
The divisors add up to 8832; without 5138 itself that is 3694, so 5138 is deficient (3694 is less than 5138). Euler's totient φ(5138) = 2196 numbers up to 5138 share no factor with it.
- 4
The digits of 5138 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5138 = 2 \times 7 \times 367 \]
5138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8832 |
| Euler totient φ(n) | 2196 |
| Square | 26399044 |
| Cube | 135638288072 |
| Square root | 71.679844 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.138 × |
5138 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and thirty-eight |
| Binary (base 2) | 1010000010010 |
| Octal (base 8) | 12022 |
| Hexadecimal (base 16) | 1412 |
| Base 3 | 21001022 |
| As time | 5138 seconds = 1 h 25 min 38 s |
Is 5138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5138 ÷ 2 = 2569) | 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 | Yes (5138 ÷ 7 = 734) | 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 8) | 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 1) | 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 5138 a prime number?
No. 5138 = 2 × 7 × 367, so it is divisible by 2.
What are the factors of 5138?
1, 2, 7, 14, 367, 734, 2569, 5138.
What is 5138 in binary?
1010000010010 (hexadecimal 1412, octal 12022).
What is the square root of 5138?
About 71.6798.
Is 5138 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5138?
It is a composite number with 8 divisors.