The number 21676
21676 is a composite number with 6 divisors. Its prime factorisation is × 5419. Divisors (6): 1, 2, 4, 5419, 10838, 21676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21676 is composite. Its prime factorisation is
- 3
The divisors add up to 37940; without 21676 itself that is 16264, so 21676 is deficient (16264 is less than 21676). Euler's totient φ(21676) = 10836 numbers up to 21676 share no factor with it.
- 4
The digits of 21676 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21676 = 2^{2} \times 5419 \]21676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 37940 |
| Euler totient φ(n) | 10836 |
| Square | 469848976 |
| Cube | 10184446403776 |
| Square root | 147.227715 (= 2√5419) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.1676 × |
21676 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand six hundred and seventy-six |
| Binary (base 2) | 101010010101100 |
| Octal (base 8) | 52254 |
| Hexadecimal (base 16) | 54AC |
| Base 3 | 1002201211 |
| As time | 21676 seconds = 6 h 1 min 16 s |
Is 21676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21676 ÷ 2 = 10838) | 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 (21676 ÷ 4 = 5419) | 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 4) | 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 4) | 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 | No (remainder 6) | 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 21676 a prime number?
No. 21676 = × 5419, so it is divisible by 2.
What are the factors of 21676?
1, 2, 4, 5419, 10838, 21676.
What is 21676 in binary?
101010010101100 (hexadecimal 54AC, octal 52254).
What is the square root of 21676?
About 147.2277, exactly 2√5419.
Is 21676 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 21676?
It is a composite number with 6 divisors.