The number 53048
53048 is a composite number with 16 divisors. Its prime factorisation is × 19 × 349. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 349, 698, 1396, 2792, 6631, 13262, 26524, 53048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53048 is composite. Its prime factorisation is
- 3
The divisors add up to 105000; without 53048 itself that is 51952, so 53048 is deficient (51952 is less than 53048). Euler's totient φ(53048) = 25056 numbers up to 53048 share no factor with it.
- 4
The digits of 53048 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53048 = 2^{3} \times 19 \times 349 \]53048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105000 |
| Euler totient φ(n) | 25056 |
| Square | 2814090304 |
| Cube | 149281862446592 |
| Square root | 230.321514 (= 2√13262) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3048 × |
53048 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand and forty-eight |
| Binary (base 2) | 1100111100111000 |
| Octal (base 8) | 147470 |
| Hexadecimal (base 16) | CF38 |
| Base 3 | 2200202202 |
| As time | 53048 seconds = 14 h 44 min 8 s |
Is 53048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53048 ÷ 2 = 26524) | 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 (53048 ÷ 4 = 13262) | 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 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 | Yes (53048 ÷ 8 = 6631) | 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 6) | 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 53048 a prime number?
No. 53048 = × 19 × 349, so it is divisible by 2.
What are the factors of 53048?
1, 2, 4, 8, 19, 38, 76, 152, 349, 698, 1396, 2792, 6631, 13262, 26524, 53048.
What is 53048 in binary?
1100111100111000 (hexadecimal CF38, octal 147470).
What is the square root of 53048?
About 230.3215, exactly 2√13262.
Is 53048 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53048?
It is a composite number with 16 divisors.