The number 14985
14985 is a composite number with 20 divisors. Its prime factorisation is × 5 × 37. Divisors (20): 1, 3, 5, 9, 15, 27, 37, 45, 81, 111, 135, 185, 333, 405, 555, 999 … 14985.
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How to work it out
- 1
What is special about 14985: a Harshad number: divisible by its digit sum 27.
- 2
14985 is composite. Its prime factorisation is
- 3
The divisors add up to 27588; without 14985 itself that is 12603, so 14985 is deficient (12603 is less than 14985). Euler's totient φ(14985) = 7776 numbers up to 14985 share no factor with it.
- 4
The digits of 14985 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14985 = 3^{4} \times 5 \times 37 \]14985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 27588 |
| Euler totient φ(n) | 7776 |
| Square | 224550225 |
| Cube | 3364885121625 |
| Square root | 122.413235 (= 9√185) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.4985 × |
14985 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and eighty-five |
| Binary (base 2) | 11101010001001 |
| Octal (base 8) | 35211 |
| Hexadecimal (base 16) | 3A89 |
| Base 3 | 202120000 |
| As time | 14985 seconds = 4 h 9 min 45 s |
Is 14985 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14985 ÷ 3 = 4995) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14985 ÷ 5 = 2997) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14985 ÷ 9 = 1665) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14985 a prime number?
No. 14985 = × 5 × 37, so it is divisible by 3.
What are the factors of 14985?
1, 3, 5, 9, 15, 27, 37, 45, 81, 111, 135, 185, 333, 405, 555, 999, 1665, 2997, 4995, 14985.
What is 14985 in binary?
11101010001001 (hexadecimal 3A89, octal 35211).
What is the square root of 14985?
About 122.4132, exactly 9√185.
Is 14985 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 14985?
14985 is a Harshad number: divisible by its digit sum 27.