The number 54272
54272 is a composite number with 22 divisors. Its prime factorisation is × 53. Divisors (22): 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 256, 424, 512, 848, 1024 … 54272.
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How to work it out
- 1
54272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54272 is composite. Its prime factorisation is
- 3
The divisors add up to 110538; without 54272 itself that is 56266, so 54272 is abundant (56266 is more than 54272). Euler's totient φ(54272) = 26624 numbers up to 54272 share no factor with it.
- 4
The digits of 54272 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 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54272 = 2^{10} \times 53 \]54272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 22 |
| Sum of divisors | 110538 |
| Euler totient φ(n) | 26624 |
| Square | 2945449984 |
| Cube | 159855461531648 |
| Square root | 232.963516 (= 32√53) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 21 |
| Scientific notation | 5.4272 × |
54272 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand two hundred and seventy-two |
| Binary (base 2) | 1101010000000000 |
| Octal (base 8) | 152000 |
| Hexadecimal (base 16) | D400 |
| Base 3 | 2202110002 |
| As time | 54272 seconds = 15 h 4 min 32 s |
Is 54272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54272 ÷ 2 = 27136) | 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 (54272 ÷ 4 = 13568) | 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 | No (remainder 1) | 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 (54272 ÷ 8 = 6784) | 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 9) | 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 54272 a prime number?
No. 54272 = × 53, so it is divisible by 2.
What are the factors of 54272?
1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 256, 424, 512, 848, 1024, 1696, 3392, 6784, 13568, 27136, 54272.
What is 54272 in binary?
1101010000000000 (hexadecimal D400, octal 152000).
What is the square root of 54272?
About 232.9635, exactly 32√53.
Is 54272 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 54272?
It is a composite number with 22 divisors.