The number 48993
48993 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2333. Divisors (8): 1, 3, 7, 21, 2333, 6999, 16331, 48993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48993 is composite. Its prime factorisation is
- 3
The divisors add up to 74688; without 48993 itself that is 25695, so 48993 is deficient (25695 is less than 48993). Euler's totient φ(48993) = 27984 numbers up to 48993 share no factor with it.
- 4
The digits of 48993 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48993 = 3 \times 7 \times 2333 \]
48993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 74688 |
| Euler totient φ(n) | 27984 |
| Square | 2400314049 |
| Cube | 117598586202657 |
| Square root | 221.343624 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8993 × |
48993 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and ninety-three |
| Binary (base 2) | 1011111101100001 |
| Octal (base 8) | 137541 |
| Hexadecimal (base 16) | BF61 |
| Base 3 | 2111012120 |
| As time | 48993 seconds = 13 h 36 min 33 s |
Is 48993 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 (48993 ÷ 3 = 16331) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | Yes (48993 ÷ 7 = 6999) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48993 a prime number?
No. 48993 = 3 × 7 × 2333, so it is divisible by 3.
What are the factors of 48993?
1, 3, 7, 21, 2333, 6999, 16331, 48993.
What is 48993 in binary?
1011111101100001 (hexadecimal BF61, octal 137541).
What is the square root of 48993?
About 221.3436.
Is 48993 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 48993?
It is a composite number with 8 divisors.