The number 51988
51988 is a composite number with 12 divisors. Its prime factorisation is × 41 × 317. Divisors (12): 1, 2, 4, 41, 82, 164, 317, 634, 1268, 12997, 25994, 51988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
51988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
51988 is composite. Its prime factorisation is
- 3
The divisors add up to 93492; without 51988 itself that is 41504, so 51988 is deficient (41504 is less than 51988). Euler's totient φ(51988) = 25280 numbers up to 51988 share no factor with it.
- 4
The digits of 51988 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51988 = 2^{2} \times 41 \times 317 \]51988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93492 |
| Euler totient φ(n) | 25280 |
| Square | 2702752144 |
| Cube | 140510678462272 |
| Square root | 228.008772 (= 2√12997) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.1988 × |
51988 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand nine hundred and eighty-eight |
| Binary (base 2) | 1100101100010100 |
| Octal (base 8) | 145424 |
| Hexadecimal (base 16) | CB14 |
| Base 3 | 2122022111 |
| As time | 51988 seconds = 14 h 26 min 28 s |
Is 51988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51988 ÷ 2 = 25994) | 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 | Yes (51988 ÷ 4 = 12997) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51988 a prime number?
No. 51988 = × 41 × 317, so it is divisible by 2.
What are the factors of 51988?
1, 2, 4, 41, 82, 164, 317, 634, 1268, 12997, 25994, 51988.
What is 51988 in binary?
1100101100010100 (hexadecimal CB14, octal 145424).
What is the square root of 51988?
About 228.0088, exactly 2√12997.
Is 51988 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 51988?
It is a composite number with 12 divisors.