The number 52991
52991 is a composite number with 4 divisors. Its prime factorisation is 19 × 2789. Divisors (4): 1, 19, 2789, 52991.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52991: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 2789, the product of two primes.
- 2
52991 is composite. Its prime factorisation is
- 3
The divisors add up to 55800; without 52991 itself that is 2809, so 52991 is deficient (2809 is less than 52991). Euler's totient φ(52991) = 50184 numbers up to 52991 share no factor with it.
- 4
The digits of 52991 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52991 = 19 \times 2789 \]
52991 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 55800 |
| Euler totient φ(n) | 50184 |
| Square | 2808046081 |
| Cube | 148801169878271 |
| Square root | 230.197741 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.2991 × |
52991 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand nine hundred and ninety-one |
| Binary (base 2) | 1100111011111111 |
| Octal (base 8) | 147377 |
| Hexadecimal (base 16) | CEFF |
| Base 3 | 2200200122 |
| As time | 52991 seconds = 14 h 43 min 11 s |
Is 52991 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 1) | 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 7) | 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 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52991 a prime number?
No. 52991 = 19 × 2789, so it is divisible by 19.
What are the factors of 52991?
1, 19, 2789, 52991.
What is 52991 in binary?
1100111011111111 (hexadecimal CEFF, octal 147377).
What is the square root of 52991?
About 230.1977.
Is 52991 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 52991?
52991 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 2789, the product of two primes.