The number 14801
14801 is a composite number with 6 divisors. Its prime factorisation is Ć 41. Divisors (6): 1, 19, 41, 361, 779, 14801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14801: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14801 is composite. Its prime factorisation is
- 3
The divisors add up to 16002; without 14801 itself that is 1201, so 14801 is deficient (1201 is less than 14801). Euler's totient Ļ(14801) = 13680 numbers up to 14801 share no factor with it.
- 4
The digits of 14801 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14801 = 19^{2} \times 41 \]14801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 16002 |
| Euler totient Ļ(n) | 13680 |
| Square | 219069601 |
| Cube | 3242449164401 |
| Square root | 121.659361 (= 19ā41) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4801 Ć |
14801 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand eight hundred and one |
| Binary (base 2) | 11100111010001 |
| Octal (base 8) | 34721 |
| Hexadecimal (base 16) | 39D1 |
| Base 3 | 202022012 |
| As time | 14801 seconds = 4 h 6 min 41 s |
Is 14801 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14801 a prime number?
No. 14801 = Ć 41, so it is divisible by 19.
What are the factors of 14801?
1, 19, 41, 361, 779, 14801.
What is 14801 in binary?
11100111010001 (hexadecimal 39D1, octal 34721).
What is the square root of 14801?
About 121.6594, exactly 19ā41.
Is 14801 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 14801?
14801 is a happy number: repeatedly adding the squares of its digits reaches 1.