The number 21076
21076 is a composite number with 12 divisors. Its prime factorisation is × 11 × 479. Divisors (12): 1, 2, 4, 11, 22, 44, 479, 958, 1916, 5269, 10538, 21076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21076 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 21076 itself that is 19244, so 21076 is deficient (19244 is less than 21076). Euler's totient φ(21076) = 9560 numbers up to 21076 share no factor with it.
- 4
The digits of 21076 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21076 = 2^{2} \times 11 \times 479 \]21076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 9560 |
| Square | 444197776 |
| Cube | 9361912326976 |
| Square root | 145.175756 (= 2√5269) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1076 × |
21076 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand and seventy-six |
| Binary (base 2) | 101001001010100 |
| Octal (base 8) | 51124 |
| Hexadecimal (base 16) | 5254 |
| Base 3 | 1001220121 |
| As time | 21076 seconds = 5 h 51 min 16 s |
Is 21076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21076 ÷ 2 = 10538) | 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 (21076 ÷ 4 = 5269) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (21076 ÷ 11 = 1916) | 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 21076 a prime number?
No. 21076 = × 11 × 479, so it is divisible by 2.
What are the factors of 21076?
1, 2, 4, 11, 22, 44, 479, 958, 1916, 5269, 10538, 21076.
What is 21076 in binary?
101001001010100 (hexadecimal 5254, octal 51124).
What is the square root of 21076?
About 145.1758, exactly 2√5269.
Is 21076 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 21076?
It is a composite number with 12 divisors.