The number 52764
52764 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4397. Divisors (12): 1, 2, 3, 4, 6, 12, 4397, 8794, 13191, 17588, 26382, 52764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52764: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52764 is composite. Its prime factorisation is
- 3
The divisors add up to 123144; without 52764 itself that is 70380, so 52764 is abundant (70380 is more than 52764). Euler's totient φ(52764) = 17584 numbers up to 52764 share no factor with it.
- 4
The digits of 52764 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52764 = 2^{2} \times 3 \times 4397 \]52764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123144 |
| Euler totient φ(n) | 17584 |
| Square | 2784039696 |
| Cube | 146897070519744 |
| Square root | 229.704158 (= 2√13191) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2764 × |
52764 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand seven hundred and sixty-four |
| Binary (base 2) | 1100111000011100 |
| Octal (base 8) | 147034 |
| Hexadecimal (base 16) | CE1C |
| Base 3 | 2200101020 |
| As time | 52764 seconds = 14 h 39 min 24 s |
Is 52764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52764 ÷ 2 = 26382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52764 ÷ 3 = 17588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52764 ÷ 4 = 13191) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52764 ÷ 6 = 8794) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52764 ÷ 12 = 4397) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52764 a prime number?
No. 52764 = × 3 × 4397, so it is divisible by 2.
What are the factors of 52764?
1, 2, 3, 4, 6, 12, 4397, 8794, 13191, 17588, 26382, 52764.
What is 52764 in binary?
1100111000011100 (hexadecimal CE1C, octal 147034).
What is the square root of 52764?
About 229.7042, exactly 2√13191.
Is 52764 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 52764?
52764 is a happy number: repeatedly adding the squares of its digits reaches 1.