The number 54320
54320 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 97. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 54320.
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How to work it out
- 1
What is special about 54320: a Harshad number: divisible by its digit sum 14.
- 2
54320 is composite. Its prime factorisation is
- 3
The divisors add up to 145824; without 54320 itself that is 91504, so 54320 is abundant (91504 is more than 54320). Euler's totient φ(54320) = 18432 numbers up to 54320 share no factor with it.
- 4
The digits of 54320 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54320 = 2^{4} \times 5 \times 7 \times 97 \]54320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 145824 |
| Euler totient φ(n) | 18432 |
| Square | 2950662400 |
| Cube | 160279981568000 |
| Square root | 233.066514 (= 4√3395) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.432 × |
54320 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand three hundred and twenty |
| Binary (base 2) | 1101010000110000 |
| Octal (base 8) | 152060 |
| Hexadecimal (base 16) | D430 |
| Base 3 | 2202111212 |
| As time | 54320 seconds = 15 h 5 min 20 s |
Is 54320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54320 ÷ 2 = 27160) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54320 ÷ 4 = 13580) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54320 ÷ 5 = 10864) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54320 ÷ 7 = 7760) | 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 (54320 ÷ 8 = 6790) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54320 ÷ 10 = 5432) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54320 a prime number?
No. 54320 = × 5 × 7 × 97, so it is divisible by 2.
What are the factors of 54320?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 97, 112, 140, 194, 280, 388, 485, 560, 679, 776, 970, 1358, 1552, 1940, 2716, 3395, 3880, 5432, 6790, 7760, 10864, 13580, 27160, 54320.
What is 54320 in binary?
1101010000110000 (hexadecimal D430, octal 152060).
What is the square root of 54320?
About 233.0665, exactly 4√3395.
Is 54320 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 54320?
54320 is a Harshad number: divisible by its digit sum 14.