The number 24052
24052 is a composite number with 12 divisors. Its prime factorisation is × 7 × 859. Divisors (12): 1, 2, 4, 7, 14, 28, 859, 1718, 3436, 6013, 12026, 24052.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24052: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24052 is composite. Its prime factorisation is
- 3
The divisors add up to 48160; without 24052 itself that is 24108, so 24052 is abundant (24108 is more than 24052). Euler's totient φ(24052) = 10296 numbers up to 24052 share no factor with it.
- 4
The digits of 24052 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24052 = 2^{2} \times 7 \times 859 \]24052 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48160 |
| Euler totient φ(n) | 10296 |
| Square | 578498704 |
| Cube | 13914050828608 |
| Square root | 155.087072 (= 2√6013) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.4052 × |
24052 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and fifty-two |
| Binary (base 2) | 101110111110100 |
| Octal (base 8) | 56764 |
| Hexadecimal (base 16) | 5DF4 |
| Base 3 | 1012222211 |
| As time | 24052 seconds = 6 h 40 min 52 s |
Is 24052 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24052 ÷ 2 = 12026) | 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 (24052 ÷ 4 = 6013) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (24052 ÷ 7 = 3436) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24052 a prime number?
No. 24052 = × 7 × 859, so it is divisible by 2.
What are the factors of 24052?
1, 2, 4, 7, 14, 28, 859, 1718, 3436, 6013, 12026, 24052.
What is 24052 in binary?
101110111110100 (hexadecimal 5DF4, octal 56764).
What is the square root of 24052?
About 155.0871, exactly 2√6013.
Is 24052 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 24052?
24052 is a happy number: repeatedly adding the squares of its digits reaches 1.