The number 14984
14984 is a composite number with 8 divisors. Its prime factorisation is × 1873. Divisors (8): 1, 2, 4, 8, 1873, 3746, 7492, 14984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14984 is composite. Its prime factorisation is
- 3
The divisors add up to 28110; without 14984 itself that is 13126, so 14984 is deficient (13126 is less than 14984). Euler's totient φ(14984) = 7488 numbers up to 14984 share no factor with it.
- 4
The digits of 14984 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14984 = 2^{3} \times 1873 \]14984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 28110 |
| Euler totient φ(n) | 7488 |
| Square | 224520256 |
| Cube | 3364211515904 |
| Square root | 122.409150 (= 2√3746) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.4984 × |
14984 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and eighty-four |
| Binary (base 2) | 11101010001000 |
| Octal (base 8) | 35210 |
| Hexadecimal (base 16) | 3A88 |
| Base 3 | 202112222 |
| As time | 14984 seconds = 4 h 9 min 44 s |
Is 14984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14984 ÷ 2 = 7492) | 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 (14984 ÷ 4 = 3746) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (14984 ÷ 8 = 1873) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | 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 14984 a prime number?
No. 14984 = × 1873, so it is divisible by 2.
What are the factors of 14984?
1, 2, 4, 8, 1873, 3746, 7492, 14984.
What is 14984 in binary?
11101010001000 (hexadecimal 3A88, octal 35210).
What is the square root of 14984?
About 122.4091, exactly 2√3746.
Is 14984 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 14984?
It is a composite number with 8 divisors.