The number 48776
48776 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 67. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 67, 91, 104, 134, 182 … 48776.
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How to work it out
- 1
48776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48776 is composite. Its prime factorisation is
- 3
The divisors add up to 114240; without 48776 itself that is 65464, so 48776 is abundant (65464 is more than 48776). Euler's totient φ(48776) = 19008 numbers up to 48776 share no factor with it.
- 4
The digits of 48776 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48776 = 2^{3} \times 7 \times 13 \times 67 \]48776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 114240 |
| Euler totient φ(n) | 19008 |
| Square | 2379098176 |
| Cube | 116042892632576 |
| Square root | 220.852892 (= 2√12194) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.8776 × |
48776 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and seventy-six |
| Binary (base 2) | 1011111010001000 |
| Octal (base 8) | 137210 |
| Hexadecimal (base 16) | BE88 |
| Base 3 | 2110220112 |
| As time | 48776 seconds = 13 h 32 min 56 s |
Is 48776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48776 ÷ 2 = 24388) | 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 (48776 ÷ 4 = 12194) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48776 ÷ 7 = 6968) | 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 (48776 ÷ 8 = 6097) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | 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 48776 a prime number?
No. 48776 = × 7 × 13 × 67, so it is divisible by 2.
What are the factors of 48776?
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 67, 91, 104, 134, 182, 268, 364, 469, 536, 728, 871, 938, 1742, 1876, 3484, 3752, 6097, 6968, 12194, 24388, 48776.
What is 48776 in binary?
1011111010001000 (hexadecimal BE88, octal 137210).
What is the square root of 48776?
About 220.8529, exactly 2√12194.
Is 48776 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48776?
It is a composite number with 32 divisors.