The number 21016
21016 is a composite number with 16 divisors. Its prime factorisation is × 37 × 71. Divisors (16): 1, 2, 4, 8, 37, 71, 74, 142, 148, 284, 296, 568, 2627, 5254, 10508, 21016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21016 is composite. Its prime factorisation is
- 3
The divisors add up to 41040; without 21016 itself that is 20024, so 21016 is deficient (20024 is less than 21016). Euler's totient φ(21016) = 10080 numbers up to 21016 share no factor with it.
- 4
The digits of 21016 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21016 = 2^{3} \times 37 \times 71 \]21016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 41040 |
| Euler totient φ(n) | 10080 |
| Square | 441672256 |
| Cube | 9282184132096 |
| Square root | 144.968962 (= 2√5254) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 30 |
| Scientific notation | 2.1016 × |
21016 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand and sixteen |
| Binary (base 2) | 101001000011000 |
| Octal (base 8) | 51030 |
| Hexadecimal (base 16) | 5218 |
| Base 3 | 1001211101 |
| As time | 21016 seconds = 5 h 50 min 16 s |
Is 21016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21016 ÷ 2 = 10508) | 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 (21016 ÷ 4 = 5254) | 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 2) | 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 (21016 ÷ 8 = 2627) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 21016 a prime number?
No. 21016 = × 37 × 71, so it is divisible by 2.
What are the factors of 21016?
1, 2, 4, 8, 37, 71, 74, 142, 148, 284, 296, 568, 2627, 5254, 10508, 21016.
What is 21016 in binary?
101001000011000 (hexadecimal 5218, octal 51030).
What is the square root of 21016?
About 144.9690, exactly 2√5254.
Is 21016 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 21016?
It is a composite number with 16 divisors.