The number 10031
10031 is a composite number with 4 divisors. Its prime factorisation is 7 × 1433. Divisors (4): 1, 7, 1433, 10031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10031: a semiprime: 7 × 1433, the product of two primes.
- 2
10031 is composite. Its prime factorisation is
- 3
The divisors add up to 11472; without 10031 itself that is 1441, so 10031 is deficient (1441 is less than 10031). Euler's totient φ(10031) = 8592 numbers up to 10031 share no factor with it.
- 4
The digits of 10031 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10031 = 7 \times 1433 \]
10031 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11472 |
| Euler totient φ(n) | 8592 |
| Square | 100620961 |
| Cube | 1009328859791 |
| Square root | 100.154880 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.0031 × |
10031 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and thirty-one |
| Binary (base 2) | 10011100101111 |
| Octal (base 8) | 23457 |
| Hexadecimal (base 16) | 272F |
| Base 3 | 111202112 |
| As time | 10031 seconds = 2 h 47 min 11 s |
Is 10031 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10031 ÷ 7 = 1433) | 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 7) | 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 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10031 a prime number?
No. 10031 = 7 × 1433, so it is divisible by 7.
What are the factors of 10031?
1, 7, 1433, 10031.
What is 10031 in binary?
10011100101111 (hexadecimal 272F, octal 23457).
What is the square root of 10031?
About 100.1549.
Is 10031 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 10031?
10031 is a semiprime: 7 × 1433, the product of two primes.