The number 5338
5338 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 157. Divisors (8): 1, 2, 17, 34, 157, 314, 2669, 5338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5338 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5338 is composite. Its prime factorisation is
- 3
The divisors add up to 8532; without 5338 itself that is 3194, so 5338 is deficient (3194 is less than 5338). Euler's totient φ(5338) = 2496 numbers up to 5338 share no factor with it.
- 4
The digits of 5338 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5338 = 2 \times 17 \times 157 \]
5338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8532 |
| Euler totient φ(n) | 2496 |
| Square | 28494244 |
| Cube | 152102274472 |
| Square root | 73.061618 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 147 |
| Scientific notation | 5.338 × |
5338 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and thirty-eight |
| Binary (base 2) | 1010011011010 |
| Octal (base 8) | 12332 |
| Hexadecimal (base 16) | 14DA |
| Base 3 | 21022201 |
| As time | 5338 seconds = 1 h 28 min 58 s |
Is 5338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5338 ÷ 2 = 2669) | 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 3) | 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 | 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 1) | 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 3) | 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 5338 a prime number?
No. 5338 = 2 × 17 × 157, so it is divisible by 2.
What are the factors of 5338?
1, 2, 17, 34, 157, 314, 2669, 5338.
What is 5338 in binary?
1010011011010 (hexadecimal 14DA, octal 12332).
What is the square root of 5338?
About 73.0616.
Is 5338 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5338?
It is a composite number with 8 divisors.