The number 52722
52722 is a composite number with 24 divisors. Its prime factorisation is 2 × × 29 × 101. Divisors (24): 1, 2, 3, 6, 9, 18, 29, 58, 87, 101, 174, 202, 261, 303, 522, 606 … 52722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52722: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
52722 is composite. Its prime factorisation is
- 3
The divisors add up to 119340; without 52722 itself that is 66618, so 52722 is abundant (66618 is more than 52722). Euler's totient φ(52722) = 16800 numbers up to 52722 share no factor with it.
- 4
The digits of 52722 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
\[ 52722 = 2 \times 3^{2} \times 29 \times 101 \]52722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119340 |
| Euler totient φ(n) | 16800 |
| Square | 2779609284 |
| Cube | 146546560671048 |
| Square root | 229.612717 (= 3√5858) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2722 × |
52722 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand seven hundred and twenty-two |
| Binary (base 2) | 1100110111110010 |
| Octal (base 8) | 146762 |
| Hexadecimal (base 16) | CDF2 |
| Base 3 | 2200022200 |
| As time | 52722 seconds = 14 h 38 min 42 s |
Is 52722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52722 ÷ 2 = 26361) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52722 ÷ 3 = 17574) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (52722 ÷ 6 = 8787) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52722 ÷ 9 = 5858) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52722 a prime number?
No. 52722 = 2 × × 29 × 101, so it is divisible by 2.
What are the factors of 52722?
1, 2, 3, 6, 9, 18, 29, 58, 87, 101, 174, 202, 261, 303, 522, 606, 909, 1818, 2929, 5858, 8787, 17574, 26361, 52722.
What is 52722 in binary?
1100110111110010 (hexadecimal CDF2, octal 146762).
What is the square root of 52722?
About 229.6127, exactly 3√5858.
Is 52722 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52722?
52722 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.