The number 54736
54736 is a composite number with 20 divisors. Its prime factorisation is × 11 × 311. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 311, 622, 1244, 2488, 3421, 4976 … 54736.
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How to work it out
- 1
54736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54736 is composite. Its prime factorisation is
- 3
The divisors add up to 116064; without 54736 itself that is 61328, so 54736 is abundant (61328 is more than 54736). Euler's totient φ(54736) = 24800 numbers up to 54736 share no factor with it.
- 4
The digits of 54736 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54736 = 2^{4} \times 11 \times 311 \]54736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 116064 |
| Euler totient φ(n) | 24800 |
| Square | 2996029696 |
| Cube | 163990681440256 |
| Square root | 233.957261 (= 4√3421) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.4736 × |
54736 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and thirty-six |
| Binary (base 2) | 1101010111010000 |
| Octal (base 8) | 152720 |
| Hexadecimal (base 16) | D5D0 |
| Base 3 | 2210002021 |
| As time | 54736 seconds = 15 h 12 min 16 s |
Is 54736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54736 ÷ 2 = 27368) | 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 (54736 ÷ 4 = 13684) | 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 3) | 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 (54736 ÷ 8 = 6842) | 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 | Yes (54736 ÷ 11 = 4976) | 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 54736 a prime number?
No. 54736 = × 11 × 311, so it is divisible by 2.
What are the factors of 54736?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 311, 622, 1244, 2488, 3421, 4976, 6842, 13684, 27368, 54736.
What is 54736 in binary?
1101010111010000 (hexadecimal D5D0, octal 152720).
What is the square root of 54736?
About 233.9573, exactly 4√3421.
Is 54736 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 54736?
It is a composite number with 20 divisors.