The number 54064
54064 is a composite number with 20 divisors. Its prime factorisation is × 31 × 109. Divisors (20): 1, 2, 4, 8, 16, 31, 62, 109, 124, 218, 248, 436, 496, 872, 1744, 3379 … 54064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54064 is composite. Its prime factorisation is
- 3
The divisors add up to 109120; without 54064 itself that is 55056, so 54064 is abundant (55056 is more than 54064). Euler's totient φ(54064) = 25920 numbers up to 54064 share no factor with it.
- 4
The digits of 54064 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54064 = 2^{4} \times 31 \times 109 \]54064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 109120 |
| Euler totient φ(n) | 25920 |
| Square | 2922916096 |
| Cube | 158024535814144 |
| Square root | 232.516666 (= 4√3379) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4064 × |
54064 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and sixty-four |
| Binary (base 2) | 1101001100110000 |
| Octal (base 8) | 151460 |
| Hexadecimal (base 16) | D330 |
| Base 3 | 2202011101 |
| As time | 54064 seconds = 15 h 1 min 4 s |
Is 54064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54064 ÷ 2 = 27032) | 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 (54064 ÷ 4 = 13516) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (54064 ÷ 8 = 6758) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 54064 a prime number?
No. 54064 = × 31 × 109, so it is divisible by 2.
What are the factors of 54064?
1, 2, 4, 8, 16, 31, 62, 109, 124, 218, 248, 436, 496, 872, 1744, 3379, 6758, 13516, 27032, 54064.
What is 54064 in binary?
1101001100110000 (hexadecimal D330, octal 151460).
What is the square root of 54064?
About 232.5167, exactly 4√3379.
Is 54064 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 54064?
It is a composite number with 20 divisors.