The number 15024
15024 is a composite number with 20 divisors. Its prime factorisation is × 3 × 313. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 313, 626, 939, 1252, 1878, 2504 … 15024.
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How to work it out
- 1
What is special about 15024: a Harshad number: divisible by its digit sum 12.
- 2
15024 is composite. Its prime factorisation is
- 3
The divisors add up to 38936; without 15024 itself that is 23912, so 15024 is abundant (23912 is more than 15024). Euler's totient φ(15024) = 4992 numbers up to 15024 share no factor with it.
- 4
The digits of 15024 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15024 = 2^{4} \times 3 \times 313 \]15024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 38936 |
| Euler totient φ(n) | 4992 |
| Square | 225720576 |
| Cube | 3391225933824 |
| Square root | 122.572428 (= 4√939) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.5024 × |
15024 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and twenty-four |
| Binary (base 2) | 11101010110000 |
| Octal (base 8) | 35260 |
| Hexadecimal (base 16) | 3AB0 |
| Base 3 | 202121110 |
| As time | 15024 seconds = 4 h 10 min 24 s |
Is 15024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15024 ÷ 2 = 7512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15024 ÷ 3 = 5008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15024 ÷ 4 = 3756) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15024 ÷ 6 = 2504) | 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 | Yes (15024 ÷ 8 = 1878) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15024 ÷ 12 = 1252) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15024 a prime number?
No. 15024 = × 3 × 313, so it is divisible by 2.
What are the factors of 15024?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 15024.
What is 15024 in binary?
11101010110000 (hexadecimal 3AB0, octal 35260).
What is the square root of 15024?
About 122.5724, exactly 4√939.
Is 15024 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 15024?
15024 is a Harshad number: divisible by its digit sum 12.