The number 48843
48843 is a composite number with 14 divisors. Its prime factorisation is × 67. Divisors (14): 1, 3, 9, 27, 67, 81, 201, 243, 603, 729, 1809, 5427, 16281, 48843.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48843: a Harshad number: divisible by its digit sum 27.
- 2
48843 is composite. Its prime factorisation is
- 3
The divisors add up to 74324; without 48843 itself that is 25481, so 48843 is deficient (25481 is less than 48843). Euler's totient φ(48843) = 32076 numbers up to 48843 share no factor with it.
- 4
The digits of 48843 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48843 = 3^{6} \times 67 \]48843 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 74324 |
| Euler totient φ(n) | 32076 |
| Square | 2385638649 |
| Cube | 116521748533107 |
| Square root | 221.004525 (= 27√67) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.8843 × |
48843 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and forty-three |
| Binary (base 2) | 1011111011001011 |
| Octal (base 8) | 137313 |
| Hexadecimal (base 16) | BECB |
| Base 3 | 2111000000 |
| As time | 48843 seconds = 13 h 34 min 3 s |
Is 48843 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48843 ÷ 3 = 16281) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48843 ÷ 9 = 5427) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48843 a prime number?
No. 48843 = × 67, so it is divisible by 3.
What are the factors of 48843?
1, 3, 9, 27, 67, 81, 201, 243, 603, 729, 1809, 5427, 16281, 48843.
What is 48843 in binary?
1011111011001011 (hexadecimal BECB, octal 137313).
What is the square root of 48843?
About 221.0045, exactly 27√67.
Is 48843 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48843?
48843 is a Harshad number: divisible by its digit sum 27.