The number 71988
71988 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 857. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 857, 1714, 2571, 3428 … 71988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71988 is composite. Its prime factorisation is
- 3
The divisors add up to 192192; without 71988 itself that is 120204, so 71988 is abundant (120204 is more than 71988). Euler's totient φ(71988) = 20544 numbers up to 71988 share no factor with it.
- 4
The digits of 71988 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71988 = 2^{2} \times 3 \times 7 \times 857 \]71988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 192192 |
| Euler totient φ(n) | 20544 |
| Square | 5182272144 |
| Cube | 373061407102272 |
| Square root | 268.305796 (= 2√17997) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1988 × |
71988 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand nine hundred and eighty-eight |
| Binary (base 2) | 10001100100110100 |
| Octal (base 8) | 214464 |
| Hexadecimal (base 16) | 11934 |
| Base 3 | 10122202020 |
| As time | 71988 seconds = 19 h 59 min 48 s |
Is 71988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71988 ÷ 2 = 35994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71988 ÷ 3 = 23996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71988 ÷ 4 = 17997) | 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 (71988 ÷ 6 = 11998) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71988 ÷ 7 = 10284) | 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 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71988 ÷ 12 = 5999) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71988 a prime number?
No. 71988 = × 3 × 7 × 857, so it is divisible by 2.
What are the factors of 71988?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 857, 1714, 2571, 3428, 5142, 5999, 10284, 11998, 17997, 23996, 35994, 71988.
What is 71988 in binary?
10001100100110100 (hexadecimal 11934, octal 214464).
What is the square root of 71988?
About 268.3058, exactly 2√17997.
Is 71988 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 71988?
It is a composite number with 24 divisors.