The number 54016
54016 is a composite number with 18 divisors. Its prime factorisation is × 211. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 211, 256, 422, 844, 1688, 3376, 6752, 13504 … 54016.
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How to work it out
- 1
What is special about 54016: a Harshad number: divisible by its digit sum 16.
- 2
54016 is composite. Its prime factorisation is
- 3
The divisors add up to 108332; without 54016 itself that is 54316, so 54016 is abundant (54316 is more than 54016). Euler's totient φ(54016) = 26880 numbers up to 54016 share no factor with it.
- 4
The digits of 54016 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54016 = 2^{8} \times 211 \]54016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 108332 |
| Euler totient φ(n) | 26880 |
| Square | 2917728256 |
| Cube | 157604009476096 |
| Square root | 232.413425 (= 16√211) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.4016 × |
54016 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and sixteen |
| Binary (base 2) | 1101001100000000 |
| Octal (base 8) | 151400 |
| Hexadecimal (base 16) | D300 |
| Base 3 | 2202002121 |
| As time | 54016 seconds = 15 h 0 min 16 s |
Is 54016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54016 ÷ 2 = 27008) | 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 (54016 ÷ 4 = 13504) | 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 (54016 ÷ 8 = 6752) | 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 6) | 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 54016 a prime number?
No. 54016 = × 211, so it is divisible by 2.
What are the factors of 54016?
1, 2, 4, 8, 16, 32, 64, 128, 211, 256, 422, 844, 1688, 3376, 6752, 13504, 27008, 54016.
What is 54016 in binary?
1101001100000000 (hexadecimal D300, octal 151400).
What is the square root of 54016?
About 232.4134, exactly 16√211.
Is 54016 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 54016?
54016 is a Harshad number: divisible by its digit sum 16.