The number 31004
31004 is a composite number with 12 divisors. Its prime factorisation is × 23 × 337. Divisors (12): 1, 2, 4, 23, 46, 92, 337, 674, 1348, 7751, 15502, 31004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31004 is composite. Its prime factorisation is
- 3
The divisors add up to 56784; without 31004 itself that is 25780, so 31004 is deficient (25780 is less than 31004). Euler's totient φ(31004) = 14784 numbers up to 31004 share no factor with it.
- 4
The digits of 31004 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31004 = 2^{2} \times 23 \times 337 \]31004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56784 |
| Euler totient φ(n) | 14784 |
| Square | 961248016 |
| Cube | 29802533488064 |
| Square root | 176.079527 (= 2√7751) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1004 × |
31004 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and four |
| Binary (base 2) | 111100100011100 |
| Octal (base 8) | 74434 |
| Hexadecimal (base 16) | 791C |
| Base 3 | 1120112022 |
| As time | 31004 seconds = 8 h 36 min 44 s |
Is 31004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31004 ÷ 2 = 15502) | 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 (31004 ÷ 4 = 7751) | 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 1) | 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 8) | 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 6) | 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 31004 a prime number?
No. 31004 = × 23 × 337, so it is divisible by 2.
What are the factors of 31004?
1, 2, 4, 23, 46, 92, 337, 674, 1348, 7751, 15502, 31004.
What is 31004 in binary?
111100100011100 (hexadecimal 791C, octal 74434).
What is the square root of 31004?
About 176.0795, exactly 2√7751.
Is 31004 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 31004?
It is a composite number with 12 divisors.