The number 22048
22048 is a composite number with 24 divisors. Its prime factorisation is × 13 × 53. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 53, 104, 106, 208, 212, 416, 424 … 22048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22048: a Harshad number: divisible by its digit sum 16.
- 2
22048 is composite. Its prime factorisation is
- 3
The divisors add up to 47628; without 22048 itself that is 25580, so 22048 is abundant (25580 is more than 22048). Euler's totient φ(22048) = 9984 numbers up to 22048 share no factor with it.
- 4
The digits of 22048 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22048 = 2^{5} \times 13 \times 53 \]22048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 47628 |
| Euler totient φ(n) | 9984 |
| Square | 486114304 |
| Cube | 10717848174592 |
| Square root | 148.485690 (= 4√1378) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2048 × |
22048 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and forty-eight |
| Binary (base 2) | 101011000100000 |
| Octal (base 8) | 53040 |
| Hexadecimal (base 16) | 5620 |
| Base 3 | 1010020121 |
| As time | 22048 seconds = 6 h 7 min 28 s |
Is 22048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22048 ÷ 2 = 11024) | 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 | Yes (22048 ÷ 4 = 5512) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | Yes (22048 ÷ 8 = 2756) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22048 a prime number?
No. 22048 = × 13 × 53, so it is divisible by 2.
What are the factors of 22048?
1, 2, 4, 8, 13, 16, 26, 32, 52, 53, 104, 106, 208, 212, 416, 424, 689, 848, 1378, 1696, 2756, 5512, 11024, 22048.
What is 22048 in binary?
101011000100000 (hexadecimal 5620, octal 53040).
What is the square root of 22048?
About 148.4857, exactly 4√1378.
Is 22048 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 22048?
22048 is a Harshad number: divisible by its digit sum 16.