The number 19984
19984 is a composite number with 10 divisors. Its prime factorisation is × 1249. Divisors (10): 1, 2, 4, 8, 16, 1249, 2498, 4996, 9992, 19984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19984 is composite. Its prime factorisation is
- 3
The divisors add up to 38750; without 19984 itself that is 18766, so 19984 is deficient (18766 is less than 19984). Euler's totient φ(19984) = 9984 numbers up to 19984 share no factor with it.
- 4
The digits of 19984 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19984 = 2^{4} \times 1249 \]19984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 38750 |
| Euler totient φ(n) | 9984 |
| Square | 399360256 |
| Cube | 7980815355904 |
| Square root | 141.364776 (= 4√1249) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 180 |
| Scientific notation | 1.9984 × |
19984 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand nine hundred and eighty-four |
| Binary (base 2) | 100111000010000 |
| Octal (base 8) | 47020 |
| Hexadecimal (base 16) | 4E10 |
| Base 3 | 1000102011 |
| As time | 19984 seconds = 5 h 33 min 4 s |
Is 19984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19984 ÷ 2 = 9992) | 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 (19984 ÷ 4 = 4996) | 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 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 | Yes (19984 ÷ 8 = 2498) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | 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 19984 a prime number?
No. 19984 = × 1249, so it is divisible by 2.
What are the factors of 19984?
1, 2, 4, 8, 16, 1249, 2498, 4996, 9992, 19984.
What is 19984 in binary?
100111000010000 (hexadecimal 4E10, octal 47020).
What is the square root of 19984?
About 141.3648, exactly 4√1249.
Is 19984 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 19984?
It is a composite number with 10 divisors.