The number 21048
21048 is a composite number with 16 divisors. Its prime factorisation is × 3 × 877. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 877, 1754, 2631, 3508, 5262, 7016, 10524, 21048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21048 is composite. Its prime factorisation is
- 3
The divisors add up to 52680; without 21048 itself that is 31632, so 21048 is abundant (31632 is more than 21048). Euler's totient φ(21048) = 7008 numbers up to 21048 share no factor with it.
- 4
The digits of 21048 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 193 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21048 = 2^{3} \times 3 \times 877 \]21048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 52680 |
| Euler totient φ(n) | 7008 |
| Square | 443018304 |
| Cube | 9324649262592 |
| Square root | 145.079289 (= 2√5262) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 193 |
| Scientific notation | 2.1048 × |
21048 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand and forty-eight |
| Binary (base 2) | 101001000111000 |
| Octal (base 8) | 51070 |
| Hexadecimal (base 16) | 5238 |
| Base 3 | 1001212120 |
| As time | 21048 seconds = 5 h 50 min 48 s |
Is 21048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21048 ÷ 2 = 10524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21048 ÷ 3 = 7016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21048 ÷ 4 = 5262) | 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 | Yes (21048 ÷ 6 = 3508) | 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 | Yes (21048 ÷ 8 = 2631) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (21048 ÷ 12 = 1754) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21048 a prime number?
No. 21048 = × 3 × 877, so it is divisible by 2.
What are the factors of 21048?
1, 2, 3, 4, 6, 8, 12, 24, 877, 1754, 2631, 3508, 5262, 7016, 10524, 21048.
What is 21048 in binary?
101001000111000 (hexadecimal 5238, octal 51070).
What is the square root of 21048?
About 145.0793, exactly 2√5262.
Is 21048 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 21048?
It is a composite number with 16 divisors.