The number 15428
15428 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 29. Divisors (24): 1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406 … 15428.
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How to work it out
- 1
15428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15428 is composite. Its prime factorisation is
- 3
The divisors add up to 33600; without 15428 itself that is 18172, so 15428 is abundant (18172 is more than 15428). Euler's totient φ(15428) = 6048 numbers up to 15428 share no factor with it.
- 4
The digits of 15428 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15428 = 2^{2} \times 7 \times 19 \times 29 \]15428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 33600 |
| Euler totient φ(n) | 6048 |
| Square | 238023184 |
| Cube | 3672221682752 |
| Square root | 124.209500 (= 2√3857) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5428 × |
15428 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and twenty-eight |
| Binary (base 2) | 11110001000100 |
| Octal (base 8) | 36104 |
| Hexadecimal (base 16) | 3C44 |
| Base 3 | 210011102 |
| As time | 15428 seconds = 4 h 17 min 8 s |
Is 15428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15428 ÷ 2 = 7714) | 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 (15428 ÷ 4 = 3857) | 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 | Yes (15428 ÷ 7 = 2204) | 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 6) | 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 15428 a prime number?
No. 15428 = × 7 × 19 × 29, so it is divisible by 2.
What are the factors of 15428?
1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714, 15428.
What is 15428 in binary?
11110001000100 (hexadecimal 3C44, octal 36104).
What is the square root of 15428?
About 124.2095, exactly 2√3857.
Is 15428 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 15428?
It is a composite number with 24 divisors.