The number 53771
53771 is a composite number with 4 divisors. Its prime factorisation is 17 × 3163. Divisors (4): 1, 17, 3163, 53771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53771: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3163, the product of two primes.
- 2
53771 is composite. Its prime factorisation is
- 3
The divisors add up to 56952; without 53771 itself that is 3181, so 53771 is deficient (3181 is less than 53771). Euler's totient φ(53771) = 50592 numbers up to 53771 share no factor with it.
- 4
The digits of 53771 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53771 = 17 \times 3163 \]
53771 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 56952 |
| Euler totient φ(n) | 50592 |
| Square | 2891320441 |
| Cube | 155469191433011 |
| Square root | 231.885748 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3771 × |
53771 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and seventy-one |
| Binary (base 2) | 1101001000001011 |
| Octal (base 8) | 151013 |
| Hexadecimal (base 16) | D20B |
| Base 3 | 2201202112 |
| As time | 53771 seconds = 14 h 56 min 11 s |
Is 53771 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 3) | 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 4) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53771 a prime number?
No. 53771 = 17 × 3163, so it is divisible by 17.
What are the factors of 53771?
1, 17, 3163, 53771.
What is 53771 in binary?
1101001000001011 (hexadecimal D20B, octal 151013).
What is the square root of 53771?
About 231.8857.
Is 53771 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 53771?
53771 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3163, the product of two primes.