The number 72722
72722 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 2797. Divisors (8): 1, 2, 13, 26, 2797, 5594, 36361, 72722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72722 is composite. Its prime factorisation is
- 3
The divisors add up to 117516; without 72722 itself that is 44794, so 72722 is deficient (44794 is less than 72722). Euler's totient φ(72722) = 33552 numbers up to 72722 share no factor with it.
- 4
The digits of 72722 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72722 = 2 \times 13 \times 2797 \]
72722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 117516 |
| Euler totient φ(n) | 33552 |
| Square | 5288489284 |
| Cube | 384589517711048 |
| Square root | 269.670169 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2722 × |
72722 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and twenty-two |
| Binary (base 2) | 10001110000010010 |
| Octal (base 8) | 216022 |
| Hexadecimal (base 16) | 11C12 |
| Base 3 | 10200202102 |
| As time | 72722 seconds = 20 h 12 min 2 s |
Is 72722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72722 ÷ 2 = 36361) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72722 a prime number?
No. 72722 = 2 × 13 × 2797, so it is divisible by 2.
What are the factors of 72722?
1, 2, 13, 26, 2797, 5594, 36361, 72722.
What is 72722 in binary?
10001110000010010 (hexadecimal 11C12, octal 216022).
What is the square root of 72722?
About 269.6702.
Is 72722 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72722?
It is a composite number with 8 divisors.