The number 14821
14821 is the 1736th prime number. Its only divisors are 1 and 14821.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14821: the 1736th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14821 is prime, so its only factors are 1 and 14821. It is the 1736th prime; the next prime is 14827 and the one before is 14813.
- 3
The divisors add up to 14822; without 14821 itself that is 1, so 14821 is deficient (1 is less than 14821). Euler's totient φ(14821) = 14820 numbers up to 14821 share no factor with it.
- 4
The digits of 14821 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
14821 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14822 |
| Euler totient φ(n) | 14820 |
| Square | 219662041 |
| Cube | 3255611109661 |
| Square root | 121.741529 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.4821 × |
14821 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand eight hundred and twenty-one |
| Binary (base 2) | 11100111100101 |
| Octal (base 8) | 34745 |
| Hexadecimal (base 16) | 39E5 |
| Base 3 | 202022221 |
| As time | 14821 seconds = 4 h 7 min 1 s |
Is 14821 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 1) | 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 1) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14821 a prime number?
Yes. 14821 is divisible only by 1 and itself.
What are the factors of 14821?
1, 14821.
What is 14821 in binary?
11100111100101 (hexadecimal 39E5, octal 34745).
What is the square root of 14821?
About 121.7415.
Is 14821 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 14821?
14821 is the 1736th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.