The number 48676
48676 is a composite number with 12 divisors. Its prime factorisation is × 43 × 283. Divisors (12): 1, 2, 4, 43, 86, 172, 283, 566, 1132, 12169, 24338, 48676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48676 is composite. Its prime factorisation is
- 3
The divisors add up to 87472; without 48676 itself that is 38796, so 48676 is deficient (38796 is less than 48676). Euler's totient φ(48676) = 23688 numbers up to 48676 share no factor with it.
- 4
The digits of 48676 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
\[ 48676 = 2^{2} \times 43 \times 283 \]48676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 87472 |
| Euler totient φ(n) | 23688 |
| Square | 2369352976 |
| Cube | 115330625459776 |
| Square root | 220.626381 (= 2√12169) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8676 × |
48676 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and seventy-six |
| Binary (base 2) | 1011111000100100 |
| Octal (base 8) | 137044 |
| Hexadecimal (base 16) | BE24 |
| Base 3 | 2110202211 |
| As time | 48676 seconds = 13 h 31 min 16 s |
Is 48676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48676 ÷ 2 = 24338) | 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 (48676 ÷ 4 = 12169) | 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 | No (remainder 4) | 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 | No (remainder 4) | 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 6) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48676 a prime number?
No. 48676 = × 43 × 283, so it is divisible by 2.
What are the factors of 48676?
1, 2, 4, 43, 86, 172, 283, 566, 1132, 12169, 24338, 48676.
What is 48676 in binary?
1011111000100100 (hexadecimal BE24, octal 137044).
What is the square root of 48676?
About 220.6264, exactly 2√12169.
Is 48676 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 48676?
It is a composite number with 12 divisors.