The number 48828
48828 is a triangular number: 1 + 2 + … + 312 = 48828. Its prime factorisation is × 3 × 13 × 313. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 313, 626, 939, 1252 … 48828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48828: a triangular number: 1 + 2 + … + 312 = 48828.
- 2
48828 is composite. Its prime factorisation is
- 3
The divisors add up to 123088; without 48828 itself that is 74260, so 48828 is abundant (74260 is more than 48828). Euler's totient φ(48828) = 14976 numbers up to 48828 share no factor with it.
- 4
The digits of 48828 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48828 = 2^{2} \times 3 \times 13 \times 313 \]48828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123088 |
| Euler totient φ(n) | 14976 |
| Square | 2384173584 |
| Cube | 116414427759552 |
| Square root | 220.970586 (= 2√12207) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8828 × |
48828 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and twenty-eight |
| Binary (base 2) | 1011111010111100 |
| Octal (base 8) | 137274 |
| Hexadecimal (base 16) | BEBC |
| Base 3 | 2110222110 |
| As time | 48828 seconds = 13 h 33 min 48 s |
Is 48828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48828 ÷ 2 = 24414) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48828 ÷ 3 = 16276) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48828 ÷ 4 = 12207) | 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 (48828 ÷ 6 = 8138) | 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 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48828 ÷ 12 = 4069) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48828 a prime number?
No. 48828 = × 3 × 13 × 313, so it is divisible by 2.
What are the factors of 48828?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 313, 626, 939, 1252, 1878, 3756, 4069, 8138, 12207, 16276, 24414, 48828.
What is 48828 in binary?
1011111010111100 (hexadecimal BEBC, octal 137274).
What is the square root of 48828?
About 220.9706, exactly 2√12207.
Is 48828 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48828?
48828 is a triangular number: 1 + 2 + … + 312 = 48828.