The number 54496
54496 is a composite number with 24 divisors. Its prime factorisation is × 13 × 131. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 131, 208, 262, 416, 524, 1048 … 54496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54496 is composite. Its prime factorisation is
- 3
The divisors add up to 116424; without 54496 itself that is 61928, so 54496 is abundant (61928 is more than 54496). Euler's totient φ(54496) = 24960 numbers up to 54496 share no factor with it.
- 4
The digits of 54496 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54496 = 2^{5} \times 13 \times 131 \]54496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 116424 |
| Euler totient φ(n) | 24960 |
| Square | 2969814016 |
| Cube | 161842984615936 |
| Square root | 233.443783 (= 4√3406) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.4496 × |
54496 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and ninety-six |
| Binary (base 2) | 1101010011100000 |
| Octal (base 8) | 152340 |
| Hexadecimal (base 16) | D4E0 |
| Base 3 | 2202202101 |
| As time | 54496 seconds = 15 h 8 min 16 s |
Is 54496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54496 ÷ 2 = 27248) | 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 (54496 ÷ 4 = 13624) | 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 1) | 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 (54496 ÷ 8 = 6812) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54496 a prime number?
No. 54496 = × 13 × 131, so it is divisible by 2.
What are the factors of 54496?
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 131, 208, 262, 416, 524, 1048, 1703, 2096, 3406, 4192, 6812, 13624, 27248, 54496.
What is 54496 in binary?
1101010011100000 (hexadecimal D4E0, octal 152340).
What is the square root of 54496?
About 233.4438, exactly 4√3406.
Is 54496 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 54496?
It is a composite number with 24 divisors.