The number 14404
14404 is a composite number with 12 divisors. Its prime factorisation is × 13 × 277. Divisors (12): 1, 2, 4, 13, 26, 52, 277, 554, 1108, 3601, 7202, 14404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14404: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.
- 2
14404 is composite. Its prime factorisation is
- 3
The divisors add up to 27244; without 14404 itself that is 12840, so 14404 is deficient (12840 is less than 14404). Euler's totient φ(14404) = 6624 numbers up to 14404 share no factor with it.
- 4
The digits of 14404 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14404 = 2^{2} \times 13 \times 277 \]14404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27244 |
| Euler totient φ(n) | 6624 |
| Square | 207475216 |
| Cube | 2988473011264 |
| Square root | 120.016666 (= 2√3601) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.4404 × |
14404 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and four |
| Binary (base 2) | 11100001000100 |
| Octal (base 8) | 34104 |
| Hexadecimal (base 16) | 3844 |
| Base 3 | 201202111 |
| As time | 14404 seconds = 4 h 0 min 4 s |
Is 14404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14404 ÷ 2 = 7202) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14404 ÷ 4 = 3601) | 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 4) | 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 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14404 a prime number?
No. 14404 = × 13 × 277, so it is divisible by 2.
What are the factors of 14404?
1, 2, 4, 13, 26, 52, 277, 554, 1108, 3601, 7202, 14404.
What is 14404 in binary?
11100001000100 (hexadecimal 3844, octal 34104).
What is the square root of 14404?
About 120.0167, exactly 2√3601.
Is 14404 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 14404?
14404 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.