The number 48484
48484 is a palindrome: it reads 48484 backwards too. Its prime factorisation is × 17 × 23 × 31. Divisors (24): 1, 2, 4, 17, 23, 31, 34, 46, 62, 68, 92, 124, 391, 527, 713, 782 … 48484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48484: a palindrome: it reads 48484 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48484 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 48484 itself that is 48284, so 48484 is deficient (48284 is less than 48484). Euler's totient φ(48484) = 21120 numbers up to 48484 share no factor with it.
- 4
The digits of 48484 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48484 = 2^{2} \times 17 \times 23 \times 31 \]48484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 21120 |
| Square | 2350698256 |
| Cube | 113971254243904 |
| Square root | 220.190826 (= 2√12121) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8484 × |
48484 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and eighty-four |
| Binary (base 2) | 1011110101100100 |
| Octal (base 8) | 136544 |
| Hexadecimal (base 16) | BD64 |
| Base 3 | 2110111201 |
| As time | 48484 seconds = 13 h 28 min 4 s |
Is 48484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48484 ÷ 2 = 24242) | 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 | Yes (48484 ÷ 4 = 12121) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48484 a prime number?
No. 48484 = × 17 × 23 × 31, so it is divisible by 2.
What are the factors of 48484?
1, 2, 4, 17, 23, 31, 34, 46, 62, 68, 92, 124, 391, 527, 713, 782, 1054, 1426, 1564, 2108, 2852, 12121, 24242, 48484.
What is 48484 in binary?
1011110101100100 (hexadecimal BD64, octal 136544).
What is the square root of 48484?
About 220.1908, exactly 2√12121.
Is 48484 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48484?
48484 is a palindrome: it reads 48484 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.