The number 5304
5304 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 17. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68 … 5304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5304: a Harshad number: divisible by its digit sum 12.
- 2
5304 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 5304 itself that is 9816, so 5304 is abundant (9816 is more than 5304). Euler's totient φ(5304) = 1536 numbers up to 5304 share no factor with it.
- 4
The digits of 5304 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5304 = 2^{3} \times 3 \times 13 \times 17 \]5304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 1536 |
| Square | 28132416 |
| Cube | 149214334464 |
| Square root | 72.828566 (= 2√1326) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.304 × |
5304 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and four |
| Binary (base 2) | 1010010111000 |
| Octal (base 8) | 12270 |
| Hexadecimal (base 16) | 14B8 |
| Base 3 | 21021110 |
| As time | 5304 seconds = 1 h 28 min 24 s |
Is 5304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5304 ÷ 2 = 2652) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5304 ÷ 3 = 1768) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5304 ÷ 4 = 1326) | 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 | Yes (5304 ÷ 6 = 884) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (5304 ÷ 8 = 663) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5304 ÷ 12 = 442) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5304 a prime number?
No. 5304 = × 3 × 13 × 17, so it is divisible by 2.
What are the factors of 5304?
1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304.
What is 5304 in binary?
1010010111000 (hexadecimal 14B8, octal 12270).
What is the square root of 5304?
About 72.8286, exactly 2√1326.
Is 5304 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5304?
5304 is a Harshad number: divisible by its digit sum 12.