The number 10428
10428 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 79. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 79, 132, 158, 237, 316 … 10428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10428 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 10428 itself that is 16452, so 10428 is abundant (16452 is more than 10428). Euler's totient φ(10428) = 3120 numbers up to 10428 share no factor with it.
- 4
The digits of 10428 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10428 = 2^{2} \times 3 \times 11 \times 79 \]10428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 3120 |
| Square | 108743184 |
| Cube | 1133973922752 |
| Square root | 102.117579 (= 2√2607) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0428 × |
10428 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and twenty-eight |
| Binary (base 2) | 10100010111100 |
| Octal (base 8) | 24274 |
| Hexadecimal (base 16) | 28BC |
| Base 3 | 112022020 |
| As time | 10428 seconds = 2 h 53 min 48 s |
Is 10428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10428 ÷ 2 = 5214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10428 ÷ 3 = 3476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10428 ÷ 4 = 2607) | 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 | Yes (10428 ÷ 6 = 1738) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 | Yes (10428 ÷ 11 = 948) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (10428 ÷ 12 = 869) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10428 a prime number?
No. 10428 = × 3 × 11 × 79, so it is divisible by 2.
What are the factors of 10428?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 79, 132, 158, 237, 316, 474, 869, 948, 1738, 2607, 3476, 5214, 10428.
What is 10428 in binary?
10100010111100 (hexadecimal 28BC, octal 24274).
What is the square root of 10428?
About 102.1176, exactly 2√2607.
Is 10428 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 10428?
It is a composite number with 24 divisors.