The number 52472
52472 is a composite number with 16 divisors. Its prime factorisation is × 7 × 937. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 937, 1874, 3748, 6559, 7496, 13118, 26236, 52472.
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How to work it out
- 1
52472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52472 is composite. Its prime factorisation is
- 3
The divisors add up to 112560; without 52472 itself that is 60088, so 52472 is abundant (60088 is more than 52472). Euler's totient φ(52472) = 22464 numbers up to 52472 share no factor with it.
- 4
The digits of 52472 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52472 = 2^{3} \times 7 \times 937 \]52472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112560 |
| Euler totient φ(n) | 22464 |
| Square | 2753310784 |
| Cube | 144471723458048 |
| Square root | 229.067676 (= 2√13118) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.2472 × |
52472 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and seventy-two |
| Binary (base 2) | 1100110011111000 |
| Octal (base 8) | 146370 |
| Hexadecimal (base 16) | CCF8 |
| Base 3 | 2122222102 |
| As time | 52472 seconds = 14 h 34 min 32 s |
Is 52472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52472 ÷ 2 = 26236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52472 ÷ 4 = 13118) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (52472 ÷ 7 = 7496) | 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 (52472 ÷ 8 = 6559) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52472 a prime number?
No. 52472 = × 7 × 937, so it is divisible by 2.
What are the factors of 52472?
1, 2, 4, 7, 8, 14, 28, 56, 937, 1874, 3748, 6559, 7496, 13118, 26236, 52472.
What is 52472 in binary?
1100110011111000 (hexadecimal CCF8, octal 146370).
What is the square root of 52472?
About 229.0677, exactly 2√13118.
Is 52472 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 52472?
It is a composite number with 16 divisors.