The number 31007
31007 is a composite number with 4 divisors. Its prime factorisation is 101 × 307. Divisors (4): 1, 101, 307, 31007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31007: a semiprime: 101 × 307, the product of two primes.
- 2
31007 is composite. Its prime factorisation is
- 3
The divisors add up to 31416; without 31007 itself that is 409, so 31007 is deficient (409 is less than 31007). Euler's totient φ(31007) = 30600 numbers up to 31007 share no factor with it.
- 4
The digits of 31007 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31007 = 101 \times 307 \]
31007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 31416 |
| Euler totient φ(n) | 30600 |
| Square | 961434049 |
| Cube | 29811185557343 |
| Square root | 176.088046 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.1007 × |
31007 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and seven |
| Binary (base 2) | 111100100011111 |
| Octal (base 8) | 74437 |
| Hexadecimal (base 16) | 791F |
| Base 3 | 1120112102 |
| As time | 31007 seconds = 8 h 36 min 47 s |
Is 31007 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 2) | 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 | No (remainder 4) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 31007 a prime number?
No. 31007 = 101 × 307, so it is divisible by 101.
What are the factors of 31007?
1, 101, 307, 31007.
What is 31007 in binary?
111100100011111 (hexadecimal 791F, octal 74437).
What is the square root of 31007?
About 176.0880.
Is 31007 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31007?
31007 is a semiprime: 101 × 307, the product of two primes.