The number 53821
53821 is a composite number with 4 divisors. Its prime factorisation is 107 × 503. Divisors (4): 1, 107, 503, 53821.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53821: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 107 × 503, the product of two primes.
- 2
53821 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 53821 itself that is 611, so 53821 is deficient (611 is less than 53821). Euler's totient φ(53821) = 53212 numbers up to 53821 share no factor with it.
- 4
The digits of 53821 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53821 = 107 \times 503 \]
53821 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 53212 |
| Square | 2896700041 |
| Cube | 155903292906661 |
| Square root | 231.993534 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.3821 × |
53821 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and twenty-one |
| Binary (base 2) | 1101001000111101 |
| Octal (base 8) | 151075 |
| Hexadecimal (base 16) | D23D |
| Base 3 | 2201211101 |
| As time | 53821 seconds = 14 h 57 min 1 s |
Is 53821 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | 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 53821 a prime number?
No. 53821 = 107 × 503, so it is divisible by 107.
What are the factors of 53821?
1, 107, 503, 53821.
What is 53821 in binary?
1101001000111101 (hexadecimal D23D, octal 151075).
What is the square root of 53821?
About 231.9935.
Is 53821 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 53821?
53821 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 107 × 503, the product of two primes.