The number 48984
48984 is a palindrome: it reads 48984 backwards too. Its prime factorisation is × 3 × 13 × 157. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 157 … 48984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48984: a palindrome: it reads 48984 backwards too.
- 2
48984 is composite. Its prime factorisation is
- 3
The divisors add up to 132720; without 48984 itself that is 83736, so 48984 is abundant (83736 is more than 48984). Euler's totient φ(48984) = 14976 numbers up to 48984 share no factor with it.
- 4
The digits of 48984 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48984 = 2^{3} \times 3 \times 13 \times 157 \]48984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 132720 |
| Euler totient φ(n) | 14976 |
| Square | 2399432256 |
| Cube | 117533789627904 |
| Square root | 221.323293 (= 2√12246) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8984 × |
48984 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and eighty-four |
| Binary (base 2) | 1011111101011000 |
| Octal (base 8) | 137530 |
| Hexadecimal (base 16) | BF58 |
| Base 3 | 2111012020 |
| As time | 48984 seconds = 13 h 36 min 24 s |
Is 48984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48984 ÷ 2 = 24492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48984 ÷ 3 = 16328) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48984 ÷ 4 = 12246) | 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 | Yes (48984 ÷ 6 = 8164) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (48984 ÷ 8 = 6123) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48984 ÷ 12 = 4082) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48984 a prime number?
No. 48984 = × 3 × 13 × 157, so it is divisible by 2.
What are the factors of 48984?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 157, 312, 314, 471, 628, 942, 1256, 1884, 2041, 3768, 4082, 6123, 8164, 12246, 16328, 24492, 48984.
What is 48984 in binary?
1011111101011000 (hexadecimal BF58, octal 137530).
What is the square root of 48984?
About 221.3233, exactly 2√12246.
Is 48984 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 48984?
48984 is a palindrome: it reads 48984 backwards too.