The number 48222
48222 is a composite number with 32 divisors. Its prime factorisation is 2 × × 19 × 47. Divisors (32): 1, 2, 3, 6, 9, 18, 19, 27, 38, 47, 54, 57, 94, 114, 141, 171 … 48222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48222: a Harshad number: divisible by its digit sum 18.
- 2
48222 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 48222 itself that is 66978, so 48222 is abundant (66978 is more than 48222). Euler's totient φ(48222) = 14904 numbers up to 48222 share no factor with it.
- 4
The digits of 48222 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48222 = 2 \times 3^{3} \times 19 \times 47 \]48222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 14904 |
| Square | 2325361284 |
| Cube | 112133571837048 |
| Square root | 219.595082 (= 3√5358) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8222 × |
48222 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and twenty-two |
| Binary (base 2) | 1011110001011110 |
| Octal (base 8) | 136136 |
| Hexadecimal (base 16) | BC5E |
| Base 3 | 2110011000 |
| As time | 48222 seconds = 13 h 23 min 42 s |
Is 48222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48222 ÷ 2 = 24111) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48222 ÷ 3 = 16074) | 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 (48222 ÷ 6 = 8037) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48222 ÷ 9 = 5358) | 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 9) | 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 48222 a prime number?
No. 48222 = 2 × × 19 × 47, so it is divisible by 2.
What are the factors of 48222?
1, 2, 3, 6, 9, 18, 19, 27, 38, 47, 54, 57, 94, 114, 141, 171, 282, 342, 423, 513, 846, 893, 1026, 1269, 1786, 2538, 2679, 5358, 8037, 16074, 24111, 48222.
What is 48222 in binary?
1011110001011110 (hexadecimal BC5E, octal 136136).
What is the square root of 48222?
About 219.5951, exactly 3√5358.
Is 48222 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48222?
48222 is a Harshad number: divisible by its digit sum 18.