The number 54112
54112 is a composite number with 24 divisors. Its prime factorisation is × 19 × 89. Divisors (24): 1, 2, 4, 8, 16, 19, 32, 38, 76, 89, 152, 178, 304, 356, 608, 712 … 54112.
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How to work it out
- 1
54112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54112 is composite. Its prime factorisation is
- 3
The divisors add up to 113400; without 54112 itself that is 59288, so 54112 is abundant (59288 is more than 54112). Euler's totient φ(54112) = 25344 numbers up to 54112 share no factor with it.
- 4
The digits of 54112 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54112 = 2^{5} \times 19 \times 89 \]54112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 113400 |
| Euler totient φ(n) | 25344 |
| Square | 2928108544 |
| Cube | 158445809532928 |
| Square root | 232.619862 (= 4√3382) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.4112 × |
54112 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand one hundred and twelve |
| Binary (base 2) | 1101001101100000 |
| Octal (base 8) | 151540 |
| Hexadecimal (base 16) | D360 |
| Base 3 | 2202020011 |
| As time | 54112 seconds = 15 h 1 min 52 s |
Is 54112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54112 ÷ 2 = 27056) | 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 (54112 ÷ 4 = 13528) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 (54112 ÷ 8 = 6764) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 54112 a prime number?
No. 54112 = × 19 × 89, so it is divisible by 2.
What are the factors of 54112?
1, 2, 4, 8, 16, 19, 32, 38, 76, 89, 152, 178, 304, 356, 608, 712, 1424, 1691, 2848, 3382, 6764, 13528, 27056, 54112.
What is 54112 in binary?
1101001101100000 (hexadecimal D360, octal 151540).
What is the square root of 54112?
About 232.6199, exactly 4√3382.
Is 54112 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 54112?
It is a composite number with 24 divisors.