The number 50988
50988 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 607. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 607, 1214, 1821, 2428 … 50988.
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How to work it out
- 1
50988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50988 is composite. Its prime factorisation is
- 3
The divisors add up to 136192; without 50988 itself that is 85204, so 50988 is abundant (85204 is more than 50988). Euler's totient φ(50988) = 14544 numbers up to 50988 share no factor with it.
- 4
The digits of 50988 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50988 = 2^{2} \times 3 \times 7 \times 607 \]50988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136192 |
| Euler totient φ(n) | 14544 |
| Square | 2599776144 |
| Cube | 132557386030272 |
| Square root | 225.805226 (= 2√12747) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0988 × |
50988 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and eighty-eight |
| Binary (base 2) | 1100011100101100 |
| Octal (base 8) | 143454 |
| Hexadecimal (base 16) | C72C |
| Base 3 | 2120221110 |
| As time | 50988 seconds = 14 h 9 min 48 s |
Is 50988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50988 ÷ 2 = 25494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50988 ÷ 3 = 16996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50988 ÷ 4 = 12747) | 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 | Yes (50988 ÷ 6 = 8498) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50988 ÷ 7 = 7284) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50988 ÷ 12 = 4249) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50988 a prime number?
No. 50988 = × 3 × 7 × 607, so it is divisible by 2.
What are the factors of 50988?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 607, 1214, 1821, 2428, 3642, 4249, 7284, 8498, 12747, 16996, 25494, 50988.
What is 50988 in binary?
1100011100101100 (hexadecimal C72C, octal 143454).
What is the square root of 50988?
About 225.8052, exactly 2√12747.
Is 50988 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 50988?
It is a composite number with 24 divisors.