The number 5348
5348 is a composite number with 12 divisors. Its prime factorisation is × 7 × 191. Divisors (12): 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5348 is composite. Its prime factorisation is
- 3
The divisors add up to 10752; without 5348 itself that is 5404, so 5348 is abundant (5404 is more than 5348). Euler's totient φ(5348) = 2280 numbers up to 5348 share no factor with it.
- 4
The digits of 5348 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5348 = 2^{2} \times 7 \times 191 \]5348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10752 |
| Euler totient φ(n) | 2280 |
| Square | 28601104 |
| Cube | 152958704192 |
| Square root | 73.130021 (= 2√1337) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 5.348 × |
5348 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and forty-eight |
| Binary (base 2) | 1010011100100 |
| Octal (base 8) | 12344 |
| Hexadecimal (base 16) | 14E4 |
| Base 3 | 21100002 |
| As time | 5348 seconds = 1 h 29 min 8 s |
Is 5348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5348 ÷ 2 = 2674) | 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 | Yes (5348 ÷ 4 = 1337) | 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 (5348 ÷ 7 = 764) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5348 a prime number?
No. 5348 = × 7 × 191, so it is divisible by 2.
What are the factors of 5348?
1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348.
What is 5348 in binary?
1010011100100 (hexadecimal 14E4, octal 12344).
What is the square root of 5348?
About 73.1300, exactly 2√1337.
Is 5348 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5348?
It is a composite number with 12 divisors.