The number 19992
19992 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 17. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 49 … 19992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19992 is composite. Its prime factorisation is
- 3
The divisors add up to 61560; without 19992 itself that is 41568, so 19992 is abundant (41568 is more than 19992). Euler's totient φ(19992) = 5376 numbers up to 19992 share no factor with it.
- 4
The digits of 19992 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19992 = 2^{3} \times 3 \times 7^{2} \times 17 \]19992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 61560 |
| Euler totient φ(n) | 5376 |
| Square | 399680064 |
| Cube | 7990403839488 |
| Square root | 141.393069 (= 14√102) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 180 |
| Scientific notation | 1.9992 × |
19992 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand nine hundred and ninety-two |
| Binary (base 2) | 100111000011000 |
| Octal (base 8) | 47030 |
| Hexadecimal (base 16) | 4E18 |
| Base 3 | 1000102110 |
| As time | 19992 seconds = 5 h 33 min 12 s |
Is 19992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19992 ÷ 2 = 9996) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (19992 ÷ 3 = 6664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (19992 ÷ 4 = 4998) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (19992 ÷ 6 = 3332) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (19992 ÷ 7 = 2856) | 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 (19992 ÷ 8 = 2499) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (19992 ÷ 12 = 1666) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19992 a prime number?
No. 19992 = × 3 × × 17, so it is divisible by 2.
What are the factors of 19992?
1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 49, 51, 56, 68, 84, 98, 102, 119, 136, 147, 168, 196, 204, 238, 294, 357, 392, 408, 476, 588, 714, 833, 952, 1176, 1428, 1666, 2499, 2856, 3332, 4998, 6664, 9996, 19992.
What is 19992 in binary?
100111000011000 (hexadecimal 4E18, octal 47030).
What is the square root of 19992?
About 141.3931, exactly 14√102.
Is 19992 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 19992?
It is a composite number with 48 divisors.