The number 28014
28014 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 23 × 29. Divisors (32): 1, 2, 3, 6, 7, 14, 21, 23, 29, 42, 46, 58, 69, 87, 138, 161 … 28014.
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How to work it out
- 1
28014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28014 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 28014 itself that is 41106, so 28014 is abundant (41106 is more than 28014). Euler's totient φ(28014) = 7392 numbers up to 28014 share no factor with it.
- 4
The digits of 28014 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28014 = 2 \times 3 \times 7 \times 23 \times 29 \]
28014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 7392 |
| Square | 784784196 |
| Cube | 21984944466744 |
| Square root | 167.373833 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8014 × |
28014 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and fourteen |
| Binary (base 2) | 110110101101110 |
| Octal (base 8) | 66556 |
| Hexadecimal (base 16) | 6D6E |
| Base 3 | 1102102120 |
| As time | 28014 seconds = 7 h 46 min 54 s |
Is 28014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28014 ÷ 2 = 14007) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28014 ÷ 3 = 9338) | 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 | Yes (28014 ÷ 6 = 4669) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (28014 ÷ 7 = 4002) | 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 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28014 a prime number?
No. 28014 = 2 × 3 × 7 × 23 × 29, so it is divisible by 2.
What are the factors of 28014?
1, 2, 3, 6, 7, 14, 21, 23, 29, 42, 46, 58, 69, 87, 138, 161, 174, 203, 322, 406, 483, 609, 667, 966, 1218, 1334, 2001, 4002, 4669, 9338, 14007, 28014.
What is 28014 in binary?
110110101101110 (hexadecimal 6D6E, octal 66556).
What is the square root of 28014?
About 167.3738.
Is 28014 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 28014?
It is a composite number with 32 divisors.