The number 54976
54976 is a composite number with 14 divisors. Its prime factorisation is × 859. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 859, 1718, 3436, 6872, 13744, 27488, 54976.
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How to work it out
- 1
54976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54976 is composite. Its prime factorisation is
- 3
The divisors add up to 109220; without 54976 itself that is 54244, so 54976 is deficient (54244 is less than 54976). Euler's totient φ(54976) = 27456 numbers up to 54976 share no factor with it.
- 4
The digits of 54976 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54976 = 2^{6} \times 859 \]54976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 109220 |
| Euler totient φ(n) | 27456 |
| Square | 3022360576 |
| Cube | 166157295026176 |
| Square root | 234.469614 (= 8√859) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.4976 × |
54976 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and seventy-six |
| Binary (base 2) | 1101011011000000 |
| Octal (base 8) | 153300 |
| Hexadecimal (base 16) | D6C0 |
| Base 3 | 2210102011 |
| As time | 54976 seconds = 15 h 16 min 16 s |
Is 54976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54976 ÷ 2 = 27488) | 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 (54976 ÷ 4 = 13744) | 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 | Yes (54976 ÷ 8 = 6872) | 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 9) | 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 54976 a prime number?
No. 54976 = × 859, so it is divisible by 2.
What are the factors of 54976?
1, 2, 4, 8, 16, 32, 64, 859, 1718, 3436, 6872, 13744, 27488, 54976.
What is 54976 in binary?
1101011011000000 (hexadecimal D6C0, octal 153300).
What is the square root of 54976?
About 234.4696, exactly 8√859.
Is 54976 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 54976?
It is a composite number with 14 divisors.