The number 10028
10028 is a composite number with 12 divisors. Its prime factorisation is × 23 × 109. Divisors (12): 1, 2, 4, 23, 46, 92, 109, 218, 436, 2507, 5014, 10028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10028 is composite. Its prime factorisation is
- 3
The divisors add up to 18480; without 10028 itself that is 8452, so 10028 is deficient (8452 is less than 10028). Euler's totient φ(10028) = 4752 numbers up to 10028 share no factor with it.
- 4
The digits of 10028 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10028 = 2^{2} \times 23 \times 109 \]10028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18480 |
| Euler totient φ(n) | 4752 |
| Square | 100560784 |
| Cube | 1008423541952 |
| Square root | 100.139902 (= 2√2507) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0028 × |
10028 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and twenty-eight |
| Binary (base 2) | 10011100101100 |
| Octal (base 8) | 23454 |
| Hexadecimal (base 16) | 272C |
| Base 3 | 111202102 |
| As time | 10028 seconds = 2 h 47 min 8 s |
Is 10028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10028 ÷ 2 = 5014) | 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 (10028 ÷ 4 = 2507) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10028 a prime number?
No. 10028 = × 23 × 109, so it is divisible by 2.
What are the factors of 10028?
1, 2, 4, 23, 46, 92, 109, 218, 436, 2507, 5014, 10028.
What is 10028 in binary?
10011100101100 (hexadecimal 272C, octal 23454).
What is the square root of 10028?
About 100.1399, exactly 2√2507.
Is 10028 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 10028?
It is a composite number with 12 divisors.