The number 31604
31604 is a composite number with 6 divisors. Its prime factorisation is × 7901. Divisors (6): 1, 2, 4, 7901, 15802, 31604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31604 is composite. Its prime factorisation is
- 3
The divisors add up to 55314; without 31604 itself that is 23710, so 31604 is deficient (23710 is less than 31604). Euler's totient φ(31604) = 15800 numbers up to 31604 share no factor with it.
- 4
The digits of 31604 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31604 = 2^{2} \times 7901 \]31604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 55314 |
| Euler totient φ(n) | 15800 |
| Square | 998812816 |
| Cube | 31566480236864 |
| Square root | 177.775139 (= 2√7901) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.1604 × |
31604 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and four |
| Binary (base 2) | 111101101110100 |
| Octal (base 8) | 75564 |
| Hexadecimal (base 16) | 7B74 |
| Base 3 | 1121100112 |
| As time | 31604 seconds = 8 h 46 min 44 s |
Is 31604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31604 ÷ 2 = 15802) | 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 (31604 ÷ 4 = 7901) | 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 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 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31604 a prime number?
No. 31604 = × 7901, so it is divisible by 2.
What are the factors of 31604?
1, 2, 4, 7901, 15802, 31604.
What is 31604 in binary?
111101101110100 (hexadecimal 7B74, octal 75564).
What is the square root of 31604?
About 177.7751, exactly 2√7901.
Is 31604 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31604?
It is a composite number with 6 divisors.