The number 19848
19848 is a composite number with 16 divisors. Its prime factorisation is × 3 × 827. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 827, 1654, 2481, 3308, 4962, 6616, 9924, 19848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19848: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
19848 is composite. Its prime factorisation is
- 3
The divisors add up to 49680; without 19848 itself that is 29832, so 19848 is abundant (29832 is more than 19848). Euler's totient φ(19848) = 6608 numbers up to 19848 share no factor with it.
- 4
The digits of 19848 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19848 = 2^{3} \times 3 \times 827 \]19848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 49680 |
| Euler totient φ(n) | 6608 |
| Square | 393943104 |
| Cube | 7818982728192 |
| Square root | 140.882930 (= 2√4962) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 43 |
| Scientific notation | 1.9848 × |
19848 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand eight hundred and forty-eight |
| Binary (base 2) | 100110110001000 |
| Octal (base 8) | 46610 |
| Hexadecimal (base 16) | 4D88 |
| Base 3 | 1000020010 |
| As time | 19848 seconds = 5 h 30 min 48 s |
Is 19848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19848 ÷ 2 = 9924) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (19848 ÷ 3 = 6616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (19848 ÷ 4 = 4962) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (19848 ÷ 6 = 3308) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (19848 ÷ 8 = 2481) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (19848 ÷ 12 = 1654) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19848 a prime number?
No. 19848 = × 3 × 827, so it is divisible by 2.
What are the factors of 19848?
1, 2, 3, 4, 6, 8, 12, 24, 827, 1654, 2481, 3308, 4962, 6616, 9924, 19848.
What is 19848 in binary?
100110110001000 (hexadecimal 4D88, octal 46610).
What is the square root of 19848?
About 140.8829, exactly 2√4962.
Is 19848 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 19848?
19848 is a happy number: repeatedly adding the squares of its digits reaches 1.