The number 31884
31884 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2657. Divisors (12): 1, 2, 3, 4, 6, 12, 2657, 5314, 7971, 10628, 15942, 31884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31884 is composite. Its prime factorisation is
- 3
The divisors add up to 74424; without 31884 itself that is 42540, so 31884 is abundant (42540 is more than 31884). Euler's totient φ(31884) = 10624 numbers up to 31884 share no factor with it.
- 4
The digits of 31884 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31884 = 2^{2} \times 3 \times 2657 \]31884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 74424 |
| Euler totient φ(n) | 10624 |
| Square | 1016589456 |
| Cube | 32412938215104 |
| Square root | 178.560914 (= 2√7971) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1884 × |
31884 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand eight hundred and eighty-four |
| Binary (base 2) | 111110010001100 |
| Octal (base 8) | 76214 |
| Hexadecimal (base 16) | 7C8C |
| Base 3 | 1121201220 |
| As time | 31884 seconds = 8 h 51 min 24 s |
Is 31884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31884 ÷ 2 = 15942) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31884 ÷ 3 = 10628) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31884 ÷ 4 = 7971) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31884 ÷ 6 = 5314) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31884 ÷ 12 = 2657) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31884 a prime number?
No. 31884 = × 3 × 2657, so it is divisible by 2.
What are the factors of 31884?
1, 2, 3, 4, 6, 12, 2657, 5314, 7971, 10628, 15942, 31884.
What is 31884 in binary?
111110010001100 (hexadecimal 7C8C, octal 76214).
What is the square root of 31884?
About 178.5609, exactly 2√7971.
Is 31884 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 31884?
It is a composite number with 12 divisors.