The number 30010
30010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3001. Divisors (8): 1, 2, 5, 10, 3001, 6002, 15005, 30010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30010: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
30010 is composite. Its prime factorisation is
- 3
The divisors add up to 54036; without 30010 itself that is 24026, so 30010 is deficient (24026 is less than 30010). Euler's totient φ(30010) = 12000 numbers up to 30010 share no factor with it.
- 4
The digits of 30010 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30010 = 2 \times 5 \times 3001 \]
30010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54036 |
| Euler totient φ(n) | 12000 |
| Square | 900600100 |
| Cube | 27027009001000 |
| Square root | 173.233946 |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 64 |
| Scientific notation | 3.001 × |
30010 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and ten |
| Binary (base 2) | 111010100111010 |
| Octal (base 8) | 72472 |
| Hexadecimal (base 16) | 753A |
| Base 3 | 1112011111 |
| As time | 30010 seconds = 8 h 20 min 10 s |
Is 30010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30010 ÷ 2 = 15005) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30010 ÷ 5 = 6002) | 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 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (30010 ÷ 10 = 3001) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30010 a prime number?
No. 30010 = 2 × 5 × 3001, so it is divisible by 2.
What are the factors of 30010?
1, 2, 5, 10, 3001, 6002, 15005, 30010.
What is 30010 in binary?
111010100111010 (hexadecimal 753A, octal 72472).
What is the square root of 30010?
About 173.2339.
Is 30010 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 30010?
30010 is a happy number: repeatedly adding the squares of its digits reaches 1.