The number 48516
48516 is a triangular number: 1 + 2 + … + 311 = 48516. Its prime factorisation is × 3 × 13 × 311. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 311, 622, 933, 1244 … 48516.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48516: a triangular number: 1 + 2 + … + 311 = 48516.
- 2
48516 is composite. Its prime factorisation is
- 3
The divisors add up to 122304; without 48516 itself that is 73788, so 48516 is abundant (73788 is more than 48516). Euler's totient φ(48516) = 14880 numbers up to 48516 share no factor with it.
- 4
The digits of 48516 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48516 = 2^{2} \times 3 \times 13 \times 311 \]48516 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 122304 |
| Euler totient φ(n) | 14880 |
| Square | 2353802256 |
| Cube | 114197070252096 |
| Square root | 220.263479 (= 2√12129) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8516 × |
48516 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and sixteen |
| Binary (base 2) | 1011110110000100 |
| Octal (base 8) | 136604 |
| Hexadecimal (base 16) | BD84 |
| Base 3 | 2110112220 |
| As time | 48516 seconds = 13 h 28 min 36 s |
Is 48516 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48516 ÷ 2 = 24258) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48516 ÷ 3 = 16172) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48516 ÷ 4 = 12129) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48516 ÷ 6 = 8086) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48516 ÷ 12 = 4043) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48516 a prime number?
No. 48516 = × 3 × 13 × 311, so it is divisible by 2.
What are the factors of 48516?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 311, 622, 933, 1244, 1866, 3732, 4043, 8086, 12129, 16172, 24258, 48516.
What is 48516 in binary?
1011110110000100 (hexadecimal BD84, octal 136604).
What is the square root of 48516?
About 220.2635, exactly 2√12129.
Is 48516 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48516?
48516 is a triangular number: 1 + 2 + … + 311 = 48516.