The number 53348
53348 is a composite number with 6 divisors. Its prime factorisation is × 13337. Divisors (6): 1, 2, 4, 13337, 26674, 53348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53348 is composite. Its prime factorisation is
- 3
The divisors add up to 93366; without 53348 itself that is 40018, so 53348 is deficient (40018 is less than 53348). Euler's totient φ(53348) = 26672 numbers up to 53348 share no factor with it.
- 4
The digits of 53348 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53348 = 2^{2} \times 13337 \]53348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 93366 |
| Euler totient φ(n) | 26672 |
| Square | 2846009104 |
| Cube | 151828893680192 |
| Square root | 230.971860 (= 2√13337) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3348 × |
53348 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and forty-eight |
| Binary (base 2) | 1101000001100100 |
| Octal (base 8) | 150144 |
| Hexadecimal (base 16) | D064 |
| Base 3 | 2201011212 |
| As time | 53348 seconds = 14 h 49 min 8 s |
Is 53348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53348 ÷ 2 = 26674) | 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 (53348 ÷ 4 = 13337) | 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 1) | 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 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53348 a prime number?
No. 53348 = × 13337, so it is divisible by 2.
What are the factors of 53348?
1, 2, 4, 13337, 26674, 53348.
What is 53348 in binary?
1101000001100100 (hexadecimal D064, octal 150144).
What is the square root of 53348?
About 230.9719, exactly 2√13337.
Is 53348 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 53348?
It is a composite number with 6 divisors.