The number 21848
21848 is a composite number with 8 divisors. Its prime factorisation is × 2731. Divisors (8): 1, 2, 4, 8, 2731, 5462, 10924, 21848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21848 is composite. Its prime factorisation is
- 3
The divisors add up to 40980; without 21848 itself that is 19132, so 21848 is deficient (19132 is less than 21848). Euler's totient φ(21848) = 10920 numbers up to 21848 share no factor with it.
- 4
The digits of 21848 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21848 = 2^{3} \times 2731 \]21848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40980 |
| Euler totient φ(n) | 10920 |
| Square | 477335104 |
| Cube | 10428817352192 |
| Square root | 147.810690 (= 2√5462) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.1848 × |
21848 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand eight hundred and forty-eight |
| Binary (base 2) | 101010101011000 |
| Octal (base 8) | 52530 |
| Hexadecimal (base 16) | 5558 |
| Base 3 | 1002222012 |
| As time | 21848 seconds = 6 h 4 min 8 s |
Is 21848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21848 ÷ 2 = 10924) | 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 | Yes (21848 ÷ 4 = 5462) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (21848 ÷ 8 = 2731) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21848 a prime number?
No. 21848 = × 2731, so it is divisible by 2.
What are the factors of 21848?
1, 2, 4, 8, 2731, 5462, 10924, 21848.
What is 21848 in binary?
101010101011000 (hexadecimal 5558, octal 52530).
What is the square root of 21848?
About 147.8107, exactly 2√5462.
Is 21848 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 21848?
It is a composite number with 8 divisors.