The number 14804
14804 is a composite number with 6 divisors. Its prime factorisation is × 3701. Divisors (6): 1, 2, 4, 3701, 7402, 14804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14804: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14804 is composite. Its prime factorisation is
- 3
The divisors add up to 25914; without 14804 itself that is 11110, so 14804 is deficient (11110 is less than 14804). Euler's totient φ(14804) = 7400 numbers up to 14804 share no factor with it.
- 4
The digits of 14804 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14804 = 2^{2} \times 3701 \]14804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 25914 |
| Euler totient φ(n) | 7400 |
| Square | 219158416 |
| Cube | 3244421190464 |
| Square root | 121.671689 (= 2√3701) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4804 × |
14804 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand eight hundred and four |
| Binary (base 2) | 11100111010100 |
| Octal (base 8) | 34724 |
| Hexadecimal (base 16) | 39D4 |
| Base 3 | 202022022 |
| As time | 14804 seconds = 4 h 6 min 44 s |
Is 14804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14804 ÷ 2 = 7402) | 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 (14804 ÷ 4 = 3701) | 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 6) | 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 8) | 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 9) | 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 14804 a prime number?
No. 14804 = × 3701, so it is divisible by 2.
What are the factors of 14804?
1, 2, 4, 3701, 7402, 14804.
What is 14804 in binary?
11100111010100 (hexadecimal 39D4, octal 34724).
What is the square root of 14804?
About 121.6717, exactly 2√3701.
Is 14804 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 14804?
14804 is a happy number: repeatedly adding the squares of its digits reaches 1.