The number 31006
31006 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 419. Divisors (8): 1, 2, 37, 74, 419, 838, 15503, 31006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31006 is composite. Its prime factorisation is
- 3
The divisors add up to 47880; without 31006 itself that is 16874, so 31006 is deficient (16874 is less than 31006). Euler's totient φ(31006) = 15048 numbers up to 31006 share no factor with it.
- 4
The digits of 31006 add up to 10, 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
\[ 31006 = 2 \times 37 \times 419 \]
31006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47880 |
| Euler totient φ(n) | 15048 |
| Square | 961372036 |
| Cube | 29808301348216 |
| Square root | 176.085207 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1006 × |
31006 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and six |
| Binary (base 2) | 111100100011110 |
| Octal (base 8) | 74436 |
| Hexadecimal (base 16) | 791E |
| Base 3 | 1120112101 |
| As time | 31006 seconds = 8 h 36 min 46 s |
Is 31006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31006 ÷ 2 = 15503) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31006 a prime number?
No. 31006 = 2 × 37 × 419, so it is divisible by 2.
What are the factors of 31006?
1, 2, 37, 74, 419, 838, 15503, 31006.
What is 31006 in binary?
111100100011110 (hexadecimal 791E, octal 74436).
What is the square root of 31006?
About 176.0852.
Is 31006 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31006?
It is a composite number with 8 divisors.