The number 15804
15804 is a composite number with 18 divisors. Its prime factorisation is × × 439. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 439, 878, 1317, 1756, 2634, 3951, 5268 … 15804.
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How to work it out
- 1
What is special about 15804: a Harshad number: divisible by its digit sum 18.
- 2
15804 is composite. Its prime factorisation is
- 3
The divisors add up to 40040; without 15804 itself that is 24236, so 15804 is abundant (24236 is more than 15804). Euler's totient φ(15804) = 5256 numbers up to 15804 share no factor with it.
- 4
The digits of 15804 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15804 = 2^{2} \times 3^{2} \times 439 \]15804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 40040 |
| Euler totient φ(n) | 5256 |
| Square | 249766416 |
| Cube | 3947308438464 |
| Square root | 125.713961 (= 6√439) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.5804 × |
15804 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand eight hundred and four |
| Binary (base 2) | 11110110111100 |
| Octal (base 8) | 36674 |
| Hexadecimal (base 16) | 3DBC |
| Base 3 | 210200100 |
| As time | 15804 seconds = 4 h 23 min 24 s |
Is 15804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15804 ÷ 2 = 7902) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15804 ÷ 3 = 5268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15804 ÷ 4 = 3951) | 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 (15804 ÷ 6 = 2634) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15804 ÷ 9 = 1756) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15804 ÷ 12 = 1317) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15804 a prime number?
No. 15804 = × × 439, so it is divisible by 2.
What are the factors of 15804?
1, 2, 3, 4, 6, 9, 12, 18, 36, 439, 878, 1317, 1756, 2634, 3951, 5268, 7902, 15804.
What is 15804 in binary?
11110110111100 (hexadecimal 3DBC, octal 36674).
What is the square root of 15804?
About 125.7140, exactly 6√439.
Is 15804 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15804?
15804 is a Harshad number: divisible by its digit sum 18.