The number 52772
52772 is a composite number with 12 divisors. Its prime factorisation is × 79 × 167. Divisors (12): 1, 2, 4, 79, 158, 167, 316, 334, 668, 13193, 26386, 52772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52772 is composite. Its prime factorisation is
- 3
The divisors add up to 94080; without 52772 itself that is 41308, so 52772 is deficient (41308 is less than 52772). Euler's totient φ(52772) = 25896 numbers up to 52772 share no factor with it.
- 4
The digits of 52772 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52772 = 2^{2} \times 79 \times 167 \]52772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94080 |
| Euler totient φ(n) | 25896 |
| Square | 2784883984 |
| Cube | 146963897603648 |
| Square root | 229.721571 (= 2√13193) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2772 × |
52772 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand seven hundred and seventy-two |
| Binary (base 2) | 1100111000100100 |
| Octal (base 8) | 147044 |
| Hexadecimal (base 16) | CE24 |
| Base 3 | 2200101112 |
| As time | 52772 seconds = 14 h 39 min 32 s |
Is 52772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52772 ÷ 2 = 26386) | 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 (52772 ÷ 4 = 13193) | 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 6) | 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 5) | 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 5) | 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 52772 a prime number?
No. 52772 = × 79 × 167, so it is divisible by 2.
What are the factors of 52772?
1, 2, 4, 79, 158, 167, 316, 334, 668, 13193, 26386, 52772.
What is 52772 in binary?
1100111000100100 (hexadecimal CE24, octal 147044).
What is the square root of 52772?
About 229.7216, exactly 2√13193.
Is 52772 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 52772?
It is a composite number with 12 divisors.