The number 28002
28002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 359. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 359, 718, 1077, 2154, 4667, 9334, 14001, 28002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28002 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 28002 itself that is 32478, so 28002 is abundant (32478 is more than 28002). Euler's totient φ(28002) = 8592 numbers up to 28002 share no factor with it.
- 4
The digits of 28002 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28002 = 2 \times 3 \times 13 \times 359 \]
28002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 8592 |
| Square | 784112004 |
| Cube | 21956704336008 |
| Square root | 167.337981 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.8002 × |
28002 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and two |
| Binary (base 2) | 110110101100010 |
| Octal (base 8) | 66542 |
| Hexadecimal (base 16) | 6D62 |
| Base 3 | 1102102010 |
| As time | 28002 seconds = 7 h 46 min 42 s |
Is 28002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28002 ÷ 2 = 14001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28002 ÷ 3 = 9334) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (28002 ÷ 6 = 4667) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 28002 a prime number?
No. 28002 = 2 × 3 × 13 × 359, so it is divisible by 2.
What are the factors of 28002?
1, 2, 3, 6, 13, 26, 39, 78, 359, 718, 1077, 2154, 4667, 9334, 14001, 28002.
What is 28002 in binary?
110110101100010 (hexadecimal 6D62, octal 66542).
What is the square root of 28002?
About 167.3380.
Is 28002 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 28002?
It is a composite number with 16 divisors.