The number 31504
31504 is a composite number with 20 divisors. Its prime factorisation is × 11 × 179. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 179, 358, 716, 1432, 1969, 2864 … 31504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31504 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 31504 itself that is 35456, so 31504 is abundant (35456 is more than 31504). Euler's totient φ(31504) = 14240 numbers up to 31504 share no factor with it.
- 4
The digits of 31504 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31504 = 2^{4} \times 11 \times 179 \]31504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 14240 |
| Square | 992502016 |
| Cube | 31267783512064 |
| Square root | 177.493662 (= 4√1969) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.1504 × |
31504 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand five hundred and four |
| Binary (base 2) | 111101100010000 |
| Octal (base 8) | 75420 |
| Hexadecimal (base 16) | 7B10 |
| Base 3 | 1121012211 |
| As time | 31504 seconds = 8 h 45 min 4 s |
Is 31504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31504 ÷ 2 = 15752) | 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 (31504 ÷ 4 = 7876) | 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 4) | 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 (31504 ÷ 8 = 3938) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (31504 ÷ 11 = 2864) | 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 31504 a prime number?
No. 31504 = × 11 × 179, so it is divisible by 2.
What are the factors of 31504?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 179, 358, 716, 1432, 1969, 2864, 3938, 7876, 15752, 31504.
What is 31504 in binary?
111101100010000 (hexadecimal 7B10, octal 75420).
What is the square root of 31504?
About 177.4937, exactly 4√1969.
Is 31504 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31504?
It is a composite number with 20 divisors.