The number 18722
18722 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 23 × 37. Divisors (16): 1, 2, 11, 22, 23, 37, 46, 74, 253, 407, 506, 814, 851, 1702, 9361, 18722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18722 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 18722 itself that is 14110, so 18722 is deficient (14110 is less than 18722). Euler's totient φ(18722) = 7920 numbers up to 18722 share no factor with it.
- 4
The digits of 18722 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18722 = 2 \times 11 \times 23 \times 37 \]
18722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 7920 |
| Square | 350513284 |
| Cube | 6562309703048 |
| Square root | 136.828360 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8722 × |
18722 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and twenty-two |
| Binary (base 2) | 100100100100010 |
| Octal (base 8) | 44442 |
| Hexadecimal (base 16) | 4922 |
| Base 3 | 221200102 |
| As time | 18722 seconds = 5 h 12 min 2 s |
Is 18722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18722 ÷ 2 = 9361) | 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 4) | 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 | Yes (18722 ÷ 11 = 1702) | 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 18722 a prime number?
No. 18722 = 2 × 11 × 23 × 37, so it is divisible by 2.
What are the factors of 18722?
1, 2, 11, 22, 23, 37, 46, 74, 253, 407, 506, 814, 851, 1702, 9361, 18722.
What is 18722 in binary?
100100100100010 (hexadecimal 4922, octal 44442).
What is the square root of 18722?
About 136.8284.
Is 18722 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 18722?
It is a composite number with 16 divisors.