The number 52704
52704 is a composite number with 48 divisors. Its prime factorisation is × × 61. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54 … 52704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52704: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
52704 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 52704 itself that is 103536, so 52704 is abundant (103536 is more than 52704). Euler's totient φ(52704) = 17280 numbers up to 52704 share no factor with it.
- 4
The digits of 52704 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52704 = 2^{5} \times 3^{3} \times 61 \]52704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 17280 |
| Square | 2777711616 |
| Cube | 146396513009664 |
| Square root | 229.573518 (= 12√366) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2704 × |
52704 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand seven hundred and four |
| Binary (base 2) | 1100110111100000 |
| Octal (base 8) | 146740 |
| Hexadecimal (base 16) | CDE0 |
| Base 3 | 2200022000 |
| As time | 52704 seconds = 14 h 38 min 24 s |
Is 52704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52704 ÷ 2 = 26352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52704 ÷ 3 = 17568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52704 ÷ 4 = 13176) | 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 (52704 ÷ 6 = 8784) | 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 (52704 ÷ 8 = 6588) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52704 ÷ 9 = 5856) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52704 ÷ 12 = 4392) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52704 a prime number?
No. 52704 = × × 61, so it is divisible by 2.
What are the factors of 52704?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 61, 72, 96, 108, 122, 144, 183, 216, 244, 288, 366, 432, 488, 549, 732, 864, 976, 1098, 1464, 1647, 1952, 2196, 2928, 3294, 4392, 5856, 6588, 8784, 13176, 17568, 26352, 52704.
What is 52704 in binary?
1100110111100000 (hexadecimal CDE0, octal 146740).
What is the square root of 52704?
About 229.5735, exactly 12√366.
Is 52704 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52704?
52704 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.