The number 48829
48829 is a composite number with 8 divisors. Its prime factorisation is 11 × 23 × 193. Divisors (8): 1, 11, 23, 193, 253, 2123, 4439, 48829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48829 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48829 is composite. Its prime factorisation is
- 3
The divisors add up to 55872; without 48829 itself that is 7043, so 48829 is deficient (7043 is less than 48829). Euler's totient φ(48829) = 42240 numbers up to 48829 share no factor with it.
- 4
The digits of 48829 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48829 = 11 \times 23 \times 193 \]
48829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55872 |
| Euler totient φ(n) | 42240 |
| Square | 2384271241 |
| Cube | 116421580426789 |
| Square root | 220.972849 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8829 × |
48829 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and twenty-nine |
| Binary (base 2) | 1011111010111101 |
| Octal (base 8) | 137275 |
| Hexadecimal (base 16) | BEBD |
| Base 3 | 2110222111 |
| As time | 48829 seconds = 13 h 33 min 49 s |
Is 48829 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 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48829 ÷ 11 = 4439) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48829 a prime number?
No. 48829 = 11 × 23 × 193, so it is divisible by 11.
What are the factors of 48829?
1, 11, 23, 193, 253, 2123, 4439, 48829.
What is 48829 in binary?
1011111010111101 (hexadecimal BEBD, octal 137275).
What is the square root of 48829?
About 220.9728.
Is 48829 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 48829?
It is a composite number with 8 divisors.