The number 30007
30007 is a composite number with 4 divisors. Its prime factorisation is 37 × 811. Divisors (4): 1, 37, 811, 30007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30007: a semiprime: 37 × 811, the product of two primes.
- 2
30007 is composite. Its prime factorisation is
- 3
The divisors add up to 30856; without 30007 itself that is 849, so 30007 is deficient (849 is less than 30007). Euler's totient φ(30007) = 29160 numbers up to 30007 share no factor with it.
- 4
The digits of 30007 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30007 = 37 \times 811 \]
30007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 30856 |
| Euler totient φ(n) | 29160 |
| Square | 900420049 |
| Cube | 27018904410343 |
| Square root | 173.225287 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 90 |
| Scientific notation | 3.0007 × |
30007 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and seven |
| Binary (base 2) | 111010100110111 |
| Octal (base 8) | 72467 |
| Hexadecimal (base 16) | 7537 |
| Base 3 | 1112011101 |
| As time | 30007 seconds = 8 h 20 min 7 s |
Is 30007 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30007 a prime number?
No. 30007 = 37 × 811, so it is divisible by 37.
What are the factors of 30007?
1, 37, 811, 30007.
What is 30007 in binary?
111010100110111 (hexadecimal 7537, octal 72467).
What is the square root of 30007?
About 173.2253.
Is 30007 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 30007?
30007 is a semiprime: 37 × 811, the product of two primes.