The number 47722
47722 is a composite number with 8 divisors. Its prime factorisation is 2 × 107 × 223. Divisors (8): 1, 2, 107, 214, 223, 446, 23861, 47722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47722 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 47722 itself that is 24854, so 47722 is deficient (24854 is less than 47722). Euler's totient φ(47722) = 23532 numbers up to 47722 share no factor with it.
- 4
The digits of 47722 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47722 = 2 \times 107 \times 223 \]
47722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 23532 |
| Square | 2277389284 |
| Cube | 108681571411048 |
| Square root | 218.453656 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7722 × |
47722 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and twenty-two |
| Binary (base 2) | 1011101001101010 |
| Octal (base 8) | 135152 |
| Hexadecimal (base 16) | BA6A |
| Base 3 | 2102110111 |
| As time | 47722 seconds = 13 h 15 min 22 s |
Is 47722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47722 ÷ 2 = 23861) | 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 | 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 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47722 a prime number?
No. 47722 = 2 × 107 × 223, so it is divisible by 2.
What are the factors of 47722?
1, 2, 107, 214, 223, 446, 23861, 47722.
What is 47722 in binary?
1011101001101010 (hexadecimal BA6A, octal 135152).
What is the square root of 47722?
About 218.4537.
Is 47722 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47722?
It is a composite number with 8 divisors.