The number 31484
31484 is a composite number with 12 divisors. Its prime factorisation is × 17 × 463. Divisors (12): 1, 2, 4, 17, 34, 68, 463, 926, 1852, 7871, 15742, 31484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31484 is composite. Its prime factorisation is
- 3
The divisors add up to 58464; without 31484 itself that is 26980, so 31484 is deficient (26980 is less than 31484). Euler's totient φ(31484) = 14784 numbers up to 31484 share no factor with it.
- 4
The digits of 31484 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31484 = 2^{2} \times 17 \times 463 \]31484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58464 |
| Euler totient φ(n) | 14784 |
| Square | 991242256 |
| Cube | 31208271187904 |
| Square root | 177.437313 (= 2√7871) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1484 × |
31484 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and eighty-four |
| Binary (base 2) | 111101011111100 |
| Octal (base 8) | 75374 |
| Hexadecimal (base 16) | 7AFC |
| Base 3 | 1121012002 |
| As time | 31484 seconds = 8 h 44 min 44 s |
Is 31484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31484 ÷ 2 = 15742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31484 ÷ 4 = 7871) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31484 a prime number?
No. 31484 = × 17 × 463, so it is divisible by 2.
What are the factors of 31484?
1, 2, 4, 17, 34, 68, 463, 926, 1852, 7871, 15742, 31484.
What is 31484 in binary?
111101011111100 (hexadecimal 7AFC, octal 75374).
What is the square root of 31484?
About 177.4373, exactly 2√7871.
Is 31484 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31484?
It is a composite number with 12 divisors.