The number 15084
15084 is a composite number with 18 divisors. Its prime factorisation is × × 419. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 419, 838, 1257, 1676, 2514, 3771, 5028 … 15084.
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How to work it out
- 1
What is special about 15084: a Harshad number: divisible by its digit sum 18.
- 2
15084 is composite. Its prime factorisation is
- 3
The divisors add up to 38220; without 15084 itself that is 23136, so 15084 is abundant (23136 is more than 15084). Euler's totient φ(15084) = 5016 numbers up to 15084 share no factor with it.
- 4
The digits of 15084 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15084 = 2^{2} \times 3^{2} \times 419 \]15084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 38220 |
| Euler totient φ(n) | 5016 |
| Square | 227527056 |
| Cube | 3432018112704 |
| Square root | 122.816937 (= 6√419) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.5084 × |
15084 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and eighty-four |
| Binary (base 2) | 11101011101100 |
| Octal (base 8) | 35354 |
| Hexadecimal (base 16) | 3AEC |
| Base 3 | 202200200 |
| As time | 15084 seconds = 4 h 11 min 24 s |
Is 15084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15084 ÷ 2 = 7542) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15084 ÷ 3 = 5028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15084 ÷ 4 = 3771) | 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 (15084 ÷ 6 = 2514) | 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 | Yes (15084 ÷ 9 = 1676) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15084 ÷ 12 = 1257) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15084 a prime number?
No. 15084 = × × 419, so it is divisible by 2.
What are the factors of 15084?
1, 2, 3, 4, 6, 9, 12, 18, 36, 419, 838, 1257, 1676, 2514, 3771, 5028, 7542, 15084.
What is 15084 in binary?
11101011101100 (hexadecimal 3AEC, octal 35354).
What is the square root of 15084?
About 122.8169, exactly 6√419.
Is 15084 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15084?
15084 is a Harshad number: divisible by its digit sum 18.