The number 52048
52048 is a composite number with 10 divisors. Its prime factorisation is × 3253. Divisors (10): 1, 2, 4, 8, 16, 3253, 6506, 13012, 26024, 52048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52048: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52048 is composite. Its prime factorisation is
- 3
The divisors add up to 100874; without 52048 itself that is 48826, so 52048 is deficient (48826 is less than 52048). Euler's totient φ(52048) = 26016 numbers up to 52048 share no factor with it.
- 4
The digits of 52048 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52048 = 2^{4} \times 3253 \]52048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 100874 |
| Euler totient φ(n) | 26016 |
| Square | 2708994304 |
| Cube | 140997735534592 |
| Square root | 228.140308 (= 4√3253) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.2048 × |
52048 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and forty-eight |
| Binary (base 2) | 1100101101010000 |
| Octal (base 8) | 145520 |
| Hexadecimal (base 16) | CB50 |
| Base 3 | 2122101201 |
| As time | 52048 seconds = 14 h 27 min 28 s |
Is 52048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52048 ÷ 2 = 26024) | 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 | Yes (52048 ÷ 4 = 13012) | 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 3) | 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 (52048 ÷ 8 = 6506) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52048 a prime number?
No. 52048 = × 3253, so it is divisible by 2.
What are the factors of 52048?
1, 2, 4, 8, 16, 3253, 6506, 13012, 26024, 52048.
What is 52048 in binary?
1100101101010000 (hexadecimal CB50, octal 145520).
What is the square root of 52048?
About 228.1403, exactly 4√3253.
Is 52048 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 52048?
52048 is a happy number: repeatedly adding the squares of its digits reaches 1.