The number 15404
15404 is a composite number with 6 divisors. Its prime factorisation is × 3851. Divisors (6): 1, 2, 4, 3851, 7702, 15404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15404 is composite. Its prime factorisation is
- 3
The divisors add up to 26964; without 15404 itself that is 11560, so 15404 is deficient (11560 is less than 15404). Euler's totient φ(15404) = 7700 numbers up to 15404 share no factor with it.
- 4
The digits of 15404 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15404 = 2^{2} \times 3851 \]15404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 26964 |
| Euler totient φ(n) | 7700 |
| Square | 237283216 |
| Cube | 3655110659264 |
| Square root | 124.112852 (= 2√3851) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.5404 × |
15404 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and four |
| Binary (base 2) | 11110000101100 |
| Octal (base 8) | 36054 |
| Hexadecimal (base 16) | 3C2C |
| Base 3 | 210010112 |
| As time | 15404 seconds = 4 h 16 min 44 s |
Is 15404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15404 ÷ 2 = 7702) | 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 (15404 ÷ 4 = 3851) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 5) | 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 4) | 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 15404 a prime number?
No. 15404 = × 3851, so it is divisible by 2.
What are the factors of 15404?
1, 2, 4, 3851, 7702, 15404.
What is 15404 in binary?
11110000101100 (hexadecimal 3C2C, octal 36054).
What is the square root of 15404?
About 124.1129, exactly 2√3851.
Is 15404 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 15404?
It is a composite number with 6 divisors.