The number 52024
52024 is a composite number with 16 divisors. Its prime factorisation is × 7 × 929. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 929, 1858, 3716, 6503, 7432, 13006, 26012, 52024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52024: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52024 is composite. Its prime factorisation is
- 3
The divisors add up to 111600; without 52024 itself that is 59576, so 52024 is abundant (59576 is more than 52024). Euler's totient φ(52024) = 22272 numbers up to 52024 share no factor with it.
- 4
The digits of 52024 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52024 = 2^{3} \times 7 \times 929 \]52024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 111600 |
| Euler totient φ(n) | 22272 |
| Square | 2706496576 |
| Cube | 140802777869824 |
| Square root | 228.087702 (= 2√13006) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.2024 × |
52024 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and twenty-four |
| Binary (base 2) | 1100101100111000 |
| Octal (base 8) | 145470 |
| Hexadecimal (base 16) | CB38 |
| Base 3 | 2122100211 |
| As time | 52024 seconds = 14 h 27 min 4 s |
Is 52024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52024 ÷ 2 = 26012) | 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 (52024 ÷ 4 = 13006) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (52024 ÷ 7 = 7432) | 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 (52024 ÷ 8 = 6503) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 52024 a prime number?
No. 52024 = × 7 × 929, so it is divisible by 2.
What are the factors of 52024?
1, 2, 4, 7, 8, 14, 28, 56, 929, 1858, 3716, 6503, 7432, 13006, 26012, 52024.
What is 52024 in binary?
1100101100111000 (hexadecimal CB38, octal 145470).
What is the square root of 52024?
About 228.0877, exactly 2√13006.
Is 52024 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 52024?
52024 is a happy number: repeatedly adding the squares of its digits reaches 1.