The number 52767
52767 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 41. Divisors (24): 1, 3, 9, 11, 13, 33, 39, 41, 99, 117, 123, 143, 369, 429, 451, 533 … 52767.
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How to work it out
- 1
52767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52767 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 52767 itself that is 38961, so 52767 is deficient (38961 is less than 52767). Euler's totient φ(52767) = 28800 numbers up to 52767 share no factor with it.
- 4
The digits of 52767 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52767 = 3^{2} \times 11 \times 13 \times 41 \]52767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 28800 |
| Square | 2784356289 |
| Cube | 146922128301663 |
| Square root | 229.710688 (= 3√5863) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2767 × |
52767 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand seven hundred and sixty-seven |
| Binary (base 2) | 1100111000011111 |
| Octal (base 8) | 147037 |
| Hexadecimal (base 16) | CE1F |
| Base 3 | 2200101100 |
| As time | 52767 seconds = 14 h 39 min 27 s |
Is 52767 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52767 ÷ 3 = 17589) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52767 ÷ 9 = 5863) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (52767 ÷ 11 = 4797) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52767 a prime number?
No. 52767 = × 11 × 13 × 41, so it is divisible by 3.
What are the factors of 52767?
1, 3, 9, 11, 13, 33, 39, 41, 99, 117, 123, 143, 369, 429, 451, 533, 1287, 1353, 1599, 4059, 4797, 5863, 17589, 52767.
What is 52767 in binary?
1100111000011111 (hexadecimal CE1F, octal 147037).
What is the square root of 52767?
About 229.7107, exactly 3√5863.
Is 52767 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 52767?
It is a composite number with 24 divisors.