The number 31384
31384 is a composite number with 8 divisors. Its prime factorisation is × 3923. Divisors (8): 1, 2, 4, 8, 3923, 7846, 15692, 31384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31384 is composite. Its prime factorisation is
- 3
The divisors add up to 58860; without 31384 itself that is 27476, so 31384 is deficient (27476 is less than 31384). Euler's totient φ(31384) = 15688 numbers up to 31384 share no factor with it.
- 4
The digits of 31384 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31384 = 2^{3} \times 3923 \]31384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58860 |
| Euler totient φ(n) | 15688 |
| Square | 984955456 |
| Cube | 30911842031104 |
| Square root | 177.155299 (= 2√7846) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1384 × |
31384 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and eighty-four |
| Binary (base 2) | 111101010011000 |
| Octal (base 8) | 75230 |
| Hexadecimal (base 16) | 7A98 |
| Base 3 | 1121001101 |
| As time | 31384 seconds = 8 h 43 min 4 s |
Is 31384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31384 ÷ 2 = 15692) | 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 (31384 ÷ 4 = 7846) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (31384 ÷ 8 = 3923) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 31384 a prime number?
No. 31384 = × 3923, so it is divisible by 2.
What are the factors of 31384?
1, 2, 4, 8, 3923, 7846, 15692, 31384.
What is 31384 in binary?
111101010011000 (hexadecimal 7A98, octal 75230).
What is the square root of 31384?
About 177.1553, exactly 2√7846.
Is 31384 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31384?
It is a composite number with 8 divisors.