The number 52248
52248 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 311. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 52248.
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How to work it out
- 1
What is special about 52248: a Harshad number: divisible by its digit sum 21.
- 2
52248 is composite. Its prime factorisation is
- 3
The divisors add up to 149760; without 52248 itself that is 97512, so 52248 is abundant (97512 is more than 52248). Euler's totient φ(52248) = 14880 numbers up to 52248 share no factor with it.
- 4
The digits of 52248 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52248 = 2^{3} \times 3 \times 7 \times 311 \]52248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 149760 |
| Euler totient φ(n) | 14880 |
| Square | 2729853504 |
| Cube | 142629385876992 |
| Square root | 228.578214 (= 2√13062) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2248 × |
52248 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand two hundred and forty-eight |
| Binary (base 2) | 1100110000011000 |
| Octal (base 8) | 146030 |
| Hexadecimal (base 16) | CC18 |
| Base 3 | 2122200010 |
| As time | 52248 seconds = 14 h 30 min 48 s |
Is 52248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52248 ÷ 2 = 26124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52248 ÷ 3 = 17416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52248 ÷ 4 = 13062) | 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 | Yes (52248 ÷ 6 = 8708) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (52248 ÷ 7 = 7464) | 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 (52248 ÷ 8 = 6531) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (52248 ÷ 12 = 4354) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52248 a prime number?
No. 52248 = × 3 × 7 × 311, so it is divisible by 2.
What are the factors of 52248?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 311, 622, 933, 1244, 1866, 2177, 2488, 3732, 4354, 6531, 7464, 8708, 13062, 17416, 26124, 52248.
What is 52248 in binary?
1100110000011000 (hexadecimal CC18, octal 146030).
What is the square root of 52248?
About 228.5782, exactly 2√13062.
Is 52248 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 52248?
52248 is a Harshad number: divisible by its digit sum 21.