The number 1848
1848 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 11. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42 … 1848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1848: a Harshad number: divisible by its digit sum 21.
- 2
1848 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 1848 itself that is 3912, so 1848 is abundant (3912 is more than 1848). Euler's totient φ(1848) = 480 numbers up to 1848 share no factor with it.
- 4
The digits of 1848 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1848 = 2^{3} \times 3 \times 7 \times 11 \]1848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 480 |
| Square | 3415104 |
| Cube | 6311112192 |
| Square root | 42.988371 (= 2√462) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.848 × |
1848 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and forty-eight |
| Roman numerals | MDCCCXLVIII |
| Binary (base 2) | 11100111000 |
| Octal (base 8) | 3470 |
| Hexadecimal (base 16) | 738 |
| Base 3 | 2112110 |
| As time | 1848 seconds = 30 min 48 s |
Is 1848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1848 ÷ 2 = 924) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1848 ÷ 3 = 616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1848 ÷ 4 = 462) | 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 (1848 ÷ 6 = 308) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1848 ÷ 7 = 264) | 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 (1848 ÷ 8 = 231) | 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 | Yes (1848 ÷ 11 = 168) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1848 ÷ 12 = 154) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1848 a prime number?
No. 1848 = × 3 × 7 × 11, so it is divisible by 2.
What are the factors of 1848?
1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848.
What is 1848 in binary?
11100111000 (hexadecimal 738, octal 3470).
What is the square root of 1848?
About 42.9884, exactly 2√462.
What is 1848 in Roman numerals?
MDCCCXLVIII.
Is 1848 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1848?
1848 is a Harshad number: divisible by its digit sum 21.