The number 30008
30008 is a composite number with 24 divisors. Its prime factorisation is × × 31. Divisors (24): 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 121, 124, 242, 248, 341, 484 … 30008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30008: a Harshad number: divisible by its digit sum 11.
- 2
30008 is composite. Its prime factorisation is
- 3
The divisors add up to 63840; without 30008 itself that is 33832, so 30008 is abundant (33832 is more than 30008). Euler's totient φ(30008) = 13200 numbers up to 30008 share no factor with it.
- 4
The digits of 30008 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30008 = 2^{3} \times 11^{2} \times 31 \]30008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 63840 |
| Euler totient φ(n) | 13200 |
| Square | 900480064 |
| Cube | 27021605760512 |
| Square root | 173.228173 (= 22√62) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 64 |
| Scientific notation | 3.0008 × |
30008 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and eight |
| Binary (base 2) | 111010100111000 |
| Octal (base 8) | 72470 |
| Hexadecimal (base 16) | 7538 |
| Base 3 | 1112011102 |
| As time | 30008 seconds = 8 h 20 min 8 s |
Is 30008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30008 ÷ 2 = 15004) | 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 | Yes (30008 ÷ 4 = 7502) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (30008 ÷ 8 = 3751) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (30008 ÷ 11 = 2728) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30008 a prime number?
No. 30008 = × × 31, so it is divisible by 2.
What are the factors of 30008?
1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 121, 124, 242, 248, 341, 484, 682, 968, 1364, 2728, 3751, 7502, 15004, 30008.
What is 30008 in binary?
111010100111000 (hexadecimal 7538, octal 72470).
What is the square root of 30008?
About 173.2282, exactly 22√62.
Is 30008 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 30008?
30008 is a Harshad number: divisible by its digit sum 11.