The number 48976
48976 is a composite number with 10 divisors. Its prime factorisation is × 3061. Divisors (10): 1, 2, 4, 8, 16, 3061, 6122, 12244, 24488, 48976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48976 is composite. Its prime factorisation is
- 3
The divisors add up to 94922; without 48976 itself that is 45946, so 48976 is deficient (45946 is less than 48976). Euler's totient φ(48976) = 24480 numbers up to 48976 share no factor with it.
- 4
The digits of 48976 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48976 = 2^{4} \times 3061 \]48976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 94922 |
| Euler totient φ(n) | 24480 |
| Square | 2398648576 |
| Cube | 117476212658176 |
| Square root | 221.305219 (= 4√3061) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.8976 × |
48976 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and seventy-six |
| Binary (base 2) | 1011111101010000 |
| Octal (base 8) | 137520 |
| Hexadecimal (base 16) | BF50 |
| Base 3 | 2111011221 |
| As time | 48976 seconds = 13 h 36 min 16 s |
Is 48976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48976 ÷ 2 = 24488) | 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 (48976 ÷ 4 = 12244) | 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 4) | 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 (48976 ÷ 8 = 6122) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | 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 48976 a prime number?
No. 48976 = × 3061, so it is divisible by 2.
What are the factors of 48976?
1, 2, 4, 8, 16, 3061, 6122, 12244, 24488, 48976.
What is 48976 in binary?
1011111101010000 (hexadecimal BF50, octal 137520).
What is the square root of 48976?
About 221.3052, exactly 4√3061.
Is 48976 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 48976?
It is a composite number with 10 divisors.