The number 14408
14408 is a composite number with 8 divisors. Its prime factorisation is × 1801. Divisors (8): 1, 2, 4, 8, 1801, 3602, 7204, 14408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14408: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14408 is composite. Its prime factorisation is
- 3
The divisors add up to 27030; without 14408 itself that is 12622, so 14408 is deficient (12622 is less than 14408). Euler's totient φ(14408) = 7200 numbers up to 14408 share no factor with it.
- 4
The digits of 14408 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14408 = 2^{3} \times 1801 \]14408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27030 |
| Euler totient φ(n) | 7200 |
| Square | 207590464 |
| Cube | 2990963405312 |
| Square root | 120.033329 (= 2√3602) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.4408 × |
14408 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and eight |
| Binary (base 2) | 11100001001000 |
| Octal (base 8) | 34110 |
| Hexadecimal (base 16) | 3848 |
| Base 3 | 201202122 |
| As time | 14408 seconds = 4 h 0 min 8 s |
Is 14408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14408 ÷ 2 = 7204) | 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 (14408 ÷ 4 = 3602) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 (14408 ÷ 8 = 1801) | 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 8) | 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 14408 a prime number?
No. 14408 = × 1801, so it is divisible by 2.
What are the factors of 14408?
1, 2, 4, 8, 1801, 3602, 7204, 14408.
What is 14408 in binary?
11100001001000 (hexadecimal 3848, octal 34110).
What is the square root of 14408?
About 120.0333, exactly 2√3602.
Is 14408 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 14408?
14408 is a happy number: repeatedly adding the squares of its digits reaches 1.