The number 48764
48764 is a composite number with 12 divisors. Its prime factorisation is × 73 × 167. Divisors (12): 1, 2, 4, 73, 146, 167, 292, 334, 668, 12191, 24382, 48764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48764 is composite. Its prime factorisation is
- 3
The divisors add up to 87024; without 48764 itself that is 38260, so 48764 is deficient (38260 is less than 48764). Euler's totient φ(48764) = 23904 numbers up to 48764 share no factor with it.
- 4
The digits of 48764 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48764 = 2^{2} \times 73 \times 167 \]48764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 87024 |
| Euler totient φ(n) | 23904 |
| Square | 2377927696 |
| Cube | 115957266167744 |
| Square root | 220.825723 (= 2√12191) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8764 × |
48764 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and sixty-four |
| Binary (base 2) | 1011111001111100 |
| Octal (base 8) | 137174 |
| Hexadecimal (base 16) | BE7C |
| Base 3 | 2110220002 |
| As time | 48764 seconds = 13 h 32 min 44 s |
Is 48764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48764 ÷ 2 = 24382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48764 ÷ 4 = 12191) | 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 2) | 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 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48764 a prime number?
No. 48764 = × 73 × 167, so it is divisible by 2.
What are the factors of 48764?
1, 2, 4, 73, 146, 167, 292, 334, 668, 12191, 24382, 48764.
What is 48764 in binary?
1011111001111100 (hexadecimal BE7C, octal 137174).
What is the square root of 48764?
About 220.8257, exactly 2√12191.
Is 48764 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48764?
It is a composite number with 12 divisors.