The number 21014
21014 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 19 × 79. Divisors (16): 1, 2, 7, 14, 19, 38, 79, 133, 158, 266, 553, 1106, 1501, 3002, 10507, 21014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21014 is composite. Its prime factorisation is
- 3
The divisors add up to 38400; without 21014 itself that is 17386, so 21014 is deficient (17386 is less than 21014). Euler's totient φ(21014) = 8424 numbers up to 21014 share no factor with it.
- 4
The digits of 21014 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21014 = 2 \times 7 \times 19 \times 79 \]
21014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38400 |
| Euler totient φ(n) | 8424 |
| Square | 441588196 |
| Cube | 9279534350744 |
| Square root | 144.962064 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.1014 × |
21014 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand and fourteen |
| Binary (base 2) | 101001000010110 |
| Octal (base 8) | 51026 |
| Hexadecimal (base 16) | 5216 |
| Base 3 | 1001211022 |
| As time | 21014 seconds = 5 h 50 min 14 s |
Is 21014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21014 ÷ 2 = 10507) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (21014 ÷ 7 = 3002) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21014 a prime number?
No. 21014 = 2 × 7 × 19 × 79, so it is divisible by 2.
What are the factors of 21014?
1, 2, 7, 14, 19, 38, 79, 133, 158, 266, 553, 1106, 1501, 3002, 10507, 21014.
What is 21014 in binary?
101001000010110 (hexadecimal 5216, octal 51026).
What is the square root of 21014?
About 144.9621.
Is 21014 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 21014?
It is a composite number with 16 divisors.