The number 15028
15028 is a composite number with 18 divisors. Its prime factorisation is × 13 × . Divisors (18): 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 289, 442, 578, 884, 1156, 3757 … 15028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15028: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
15028 is composite. Its prime factorisation is
- 3
The divisors add up to 30086; without 15028 itself that is 15058, so 15028 is abundant (15058 is more than 15028). Euler's totient φ(15028) = 6528 numbers up to 15028 share no factor with it.
- 4
The digits of 15028 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15028 = 2^{2} \times 13 \times 17^{2} \]15028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 30086 |
| Euler totient φ(n) | 6528 |
| Square | 225840784 |
| Cube | 3393935301952 |
| Square root | 122.588743 (= 34√13) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.5028 × |
15028 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and twenty-eight |
| Binary (base 2) | 11101010110100 |
| Octal (base 8) | 35264 |
| Hexadecimal (base 16) | 3AB4 |
| Base 3 | 202121121 |
| As time | 15028 seconds = 4 h 10 min 28 s |
Is 15028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15028 ÷ 2 = 7514) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15028 ÷ 4 = 3757) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15028 a prime number?
No. 15028 = × 13 × , so it is divisible by 2.
What are the factors of 15028?
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 289, 442, 578, 884, 1156, 3757, 7514, 15028.
What is 15028 in binary?
11101010110100 (hexadecimal 3AB4, octal 35264).
What is the square root of 15028?
About 122.5887, exactly 34√13.
Is 15028 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 15028?
15028 is a happy number: repeatedly adding the squares of its digits reaches 1.