The number 52720
52720 is a composite number with 20 divisors. Its prime factorisation is × 5 × 659. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 659, 1318, 2636, 3295, 5272, 6590 … 52720.
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How to work it out
- 1
What is special about 52720: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
52720 is composite. Its prime factorisation is
- 3
The divisors add up to 122760; without 52720 itself that is 70040, so 52720 is abundant (70040 is more than 52720). Euler's totient φ(52720) = 21056 numbers up to 52720 share no factor with it.
- 4
The digits of 52720 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52720 = 2^{4} \times 5 \times 659 \]52720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 122760 |
| Euler totient φ(n) | 21056 |
| Square | 2779398400 |
| Cube | 146529883648000 |
| Square root | 229.608362 (= 4√3295) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.272 × |
52720 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand seven hundred and twenty |
| Binary (base 2) | 1100110111110000 |
| Octal (base 8) | 146760 |
| Hexadecimal (base 16) | CDF0 |
| Base 3 | 2200022121 |
| As time | 52720 seconds = 14 h 38 min 40 s |
Is 52720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52720 ÷ 2 = 26360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52720 ÷ 4 = 13180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52720 ÷ 5 = 10544) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (52720 ÷ 8 = 6590) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52720 ÷ 10 = 5272) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52720 a prime number?
No. 52720 = × 5 × 659, so it is divisible by 2.
What are the factors of 52720?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 659, 1318, 2636, 3295, 5272, 6590, 10544, 13180, 26360, 52720.
What is 52720 in binary?
1100110111110000 (hexadecimal CDF0, octal 146760).
What is the square root of 52720?
About 229.6084, exactly 4√3295.
Is 52720 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52720?
52720 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.