The number 31074
31074 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5179. Divisors (8): 1, 2, 3, 6, 5179, 10358, 15537, 31074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31074 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31074 is composite. Its prime factorisation is
- 3
The divisors add up to 62160; without 31074 itself that is 31086, so 31074 is abundant (31086 is more than 31074). Euler's totient φ(31074) = 10356 numbers up to 31074 share no factor with it.
- 4
The digits of 31074 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31074 = 2 \times 3 \times 5179 \]
31074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62160 |
| Euler totient φ(n) | 10356 |
| Square | 965593476 |
| Cube | 30004851673224 |
| Square root | 176.278189 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.1074 × |
31074 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and seventy-four |
| Binary (base 2) | 111100101100010 |
| Octal (base 8) | 74542 |
| Hexadecimal (base 16) | 7962 |
| Base 3 | 1120121220 |
| As time | 31074 seconds = 8 h 37 min 54 s |
Is 31074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31074 ÷ 2 = 15537) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31074 ÷ 3 = 10358) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (31074 ÷ 6 = 5179) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31074 a prime number?
No. 31074 = 2 × 3 × 5179, so it is divisible by 2.
What are the factors of 31074?
1, 2, 3, 6, 5179, 10358, 15537, 31074.
What is 31074 in binary?
111100101100010 (hexadecimal 7962, octal 74542).
What is the square root of 31074?
About 176.2782.
Is 31074 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31074?
It is a composite number with 8 divisors.