The number 5343
5343 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 137. Divisors (8): 1, 3, 13, 39, 137, 411, 1781, 5343.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5343 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5343 is composite. Its prime factorisation is
- 3
The divisors add up to 7728; without 5343 itself that is 2385, so 5343 is deficient (2385 is less than 5343). Euler's totient φ(5343) = 3264 numbers up to 5343 share no factor with it.
- 4
The digits of 5343 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5343 = 3 \times 13 \times 137 \]
5343 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7728 |
| Euler totient φ(n) | 3264 |
| Square | 28547649 |
| Cube | 152530088607 |
| Square root | 73.095828 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 5.343 × |
5343 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and forty-three |
| Binary (base 2) | 1010011011111 |
| Octal (base 8) | 12337 |
| Hexadecimal (base 16) | 14DF |
| Base 3 | 21022220 |
| As time | 5343 seconds = 1 h 29 min 3 s |
Is 5343 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5343 ÷ 3 = 1781) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5343 a prime number?
No. 5343 = 3 × 13 × 137, so it is divisible by 3.
What are the factors of 5343?
1, 3, 13, 39, 137, 411, 1781, 5343.
What is 5343 in binary?
1010011011111 (hexadecimal 14DF, octal 12337).
What is the square root of 5343?
About 73.0958.
Is 5343 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5343?
It is a composite number with 8 divisors.