The number 52572
52572 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 337. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 337, 674, 1011, 1348 … 52572.
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How to work it out
- 1
52572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52572 is composite. Its prime factorisation is
- 3
The divisors add up to 132496; without 52572 itself that is 79924, so 52572 is abundant (79924 is more than 52572). Euler's totient φ(52572) = 16128 numbers up to 52572 share no factor with it.
- 4
The digits of 52572 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52572 = 2^{2} \times 3 \times 13 \times 337 \]52572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 132496 |
| Euler totient φ(n) | 16128 |
| Square | 2763815184 |
| Cube | 145299291853248 |
| Square root | 229.285848 (= 2√13143) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.2572 × |
52572 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand five hundred and seventy-two |
| Binary (base 2) | 1100110101011100 |
| Octal (base 8) | 146534 |
| Hexadecimal (base 16) | CD5C |
| Base 3 | 2200010010 |
| As time | 52572 seconds = 14 h 36 min 12 s |
Is 52572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52572 ÷ 2 = 26286) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52572 ÷ 3 = 17524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52572 ÷ 4 = 13143) | 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 | Yes (52572 ÷ 6 = 8762) | 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 | No (remainder 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52572 ÷ 12 = 4381) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52572 a prime number?
No. 52572 = × 3 × 13 × 337, so it is divisible by 2.
What are the factors of 52572?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 337, 674, 1011, 1348, 2022, 4044, 4381, 8762, 13143, 17524, 26286, 52572.
What is 52572 in binary?
1100110101011100 (hexadecimal CD5C, octal 146534).
What is the square root of 52572?
About 229.2858, exactly 2√13143.
Is 52572 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 52572?
It is a composite number with 24 divisors.