The number 52988
52988 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1019. Divisors (12): 1, 2, 4, 13, 26, 52, 1019, 2038, 4076, 13247, 26494, 52988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52988 is composite. Its prime factorisation is
- 3
The divisors add up to 99960; without 52988 itself that is 46972, so 52988 is deficient (46972 is less than 52988). Euler's totient φ(52988) = 24432 numbers up to 52988 share no factor with it.
- 4
The digits of 52988 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52988 = 2^{2} \times 13 \times 1019 \]52988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99960 |
| Euler totient φ(n) | 24432 |
| Square | 2807728144 |
| Cube | 148775898894272 |
| Square root | 230.191225 (= 2√13247) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.2988 × |
52988 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand nine hundred and eighty-eight |
| Binary (base 2) | 1100111011111100 |
| Octal (base 8) | 147374 |
| Hexadecimal (base 16) | CEFC |
| Base 3 | 2200200112 |
| As time | 52988 seconds = 14 h 43 min 8 s |
Is 52988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52988 ÷ 2 = 26494) | 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 | Yes (52988 ÷ 4 = 13247) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52988 a prime number?
No. 52988 = × 13 × 1019, so it is divisible by 2.
What are the factors of 52988?
1, 2, 4, 13, 26, 52, 1019, 2038, 4076, 13247, 26494, 52988.
What is 52988 in binary?
1100111011111100 (hexadecimal CEFC, octal 147374).
What is the square root of 52988?
About 230.1912, exactly 2√13247.
Is 52988 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 52988?
It is a composite number with 12 divisors.