The number 21416
21416 is a composite number with 8 divisors. Its prime factorisation is × 2677. Divisors (8): 1, 2, 4, 8, 2677, 5354, 10708, 21416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21416 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21416 is composite. Its prime factorisation is
- 3
The divisors add up to 40170; without 21416 itself that is 18754, so 21416 is deficient (18754 is less than 21416). Euler's totient φ(21416) = 10704 numbers up to 21416 share no factor with it.
- 4
The digits of 21416 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21416 = 2^{3} \times 2677 \]21416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40170 |
| Euler totient φ(n) | 10704 |
| Square | 458645056 |
| Cube | 9822342519296 |
| Square root | 146.342065 (= 2√5354) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.1416 × |
21416 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and sixteen |
| Binary (base 2) | 101001110101000 |
| Octal (base 8) | 51650 |
| Hexadecimal (base 16) | 53A8 |
| Base 3 | 1002101012 |
| As time | 21416 seconds = 5 h 56 min 56 s |
Is 21416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21416 ÷ 2 = 10708) | 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 (21416 ÷ 4 = 5354) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (21416 ÷ 8 = 2677) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 21416 a prime number?
No. 21416 = × 2677, so it is divisible by 2.
What are the factors of 21416?
1, 2, 4, 8, 2677, 5354, 10708, 21416.
What is 21416 in binary?
101001110101000 (hexadecimal 53A8, octal 51650).
What is the square root of 21416?
About 146.3421, exactly 2√5354.
Is 21416 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 21416?
It is a composite number with 8 divisors.