The number 31668
31668 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 13 × 29. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 29, 39, 42, 52 … 31668.
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How to work it out
- 1
31668 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31668 is composite. Its prime factorisation is
- 3
The divisors add up to 94080; without 31668 itself that is 62412, so 31668 is abundant (62412 is more than 31668). Euler's totient φ(31668) = 8064 numbers up to 31668 share no factor with it.
- 4
The digits of 31668 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31668 = 2^{2} \times 3 \times 7 \times 13 \times 29 \]31668 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 94080 |
| Euler totient φ(n) | 8064 |
| Square | 1002862224 |
| Cube | 31758640909632 |
| Square root | 177.955051 (= 2√7917) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1668 × |
31668 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and sixty-eight |
| Binary (base 2) | 111101110110100 |
| Octal (base 8) | 75664 |
| Hexadecimal (base 16) | 7BB4 |
| Base 3 | 1121102220 |
| As time | 31668 seconds = 8 h 47 min 48 s |
Is 31668 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31668 ÷ 2 = 15834) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31668 ÷ 3 = 10556) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31668 ÷ 4 = 7917) | 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 (31668 ÷ 6 = 5278) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31668 ÷ 7 = 4524) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31668 ÷ 12 = 2639) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31668 a prime number?
No. 31668 = × 3 × 7 × 13 × 29, so it is divisible by 2.
What are the factors of 31668?
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 29, 39, 42, 52, 58, 78, 84, 87, 91, 116, 156, 174, 182, 203, 273, 348, 364, 377, 406, 546, 609, 754, 812, 1092, 1131, 1218, 1508, 2262, 2436, 2639, 4524, 5278, 7917, 10556, 15834, 31668.
What is 31668 in binary?
111101110110100 (hexadecimal 7BB4, octal 75664).
What is the square root of 31668?
About 177.9551, exactly 2√7917.
Is 31668 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 31668?
It is a composite number with 48 divisors.