The number 30004
30004 is a composite number with 12 divisors. Its prime factorisation is × 13 × 577. Divisors (12): 1, 2, 4, 13, 26, 52, 577, 1154, 2308, 7501, 15002, 30004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30004 is composite. Its prime factorisation is
- 3
The divisors add up to 56644; without 30004 itself that is 26640, so 30004 is deficient (26640 is less than 30004). Euler's totient φ(30004) = 13824 numbers up to 30004 share no factor with it.
- 4
The digits of 30004 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30004 = 2^{2} \times 13 \times 577 \]30004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56644 |
| Euler totient φ(n) | 13824 |
| Square | 900240016 |
| Cube | 27010801440064 |
| Square root | 173.216627 (= 2√7501) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.0004 × |
30004 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and four |
| Binary (base 2) | 111010100110100 |
| Octal (base 8) | 72464 |
| Hexadecimal (base 16) | 7534 |
| Base 3 | 1112011021 |
| As time | 30004 seconds = 8 h 20 min 4 s |
Is 30004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30004 ÷ 2 = 15002) | 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 | Yes (30004 ÷ 4 = 7501) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30004 a prime number?
No. 30004 = × 13 × 577, so it is divisible by 2.
What are the factors of 30004?
1, 2, 4, 13, 26, 52, 577, 1154, 2308, 7501, 15002, 30004.
What is 30004 in binary?
111010100110100 (hexadecimal 7534, octal 72464).
What is the square root of 30004?
About 173.2166, exactly 2√7501.
Is 30004 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 30004?
It is a composite number with 12 divisors.