The number 30130
30130 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 23 × 131. Divisors (16): 1, 2, 5, 10, 23, 46, 115, 131, 230, 262, 655, 1310, 3013, 6026, 15065, 30130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30130: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
30130 is composite. Its prime factorisation is
- 3
The divisors add up to 57024; without 30130 itself that is 26894, so 30130 is deficient (26894 is less than 30130). Euler's totient φ(30130) = 11440 numbers up to 30130 share no factor with it.
- 4
The digits of 30130 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30130 = 2 \times 5 \times 23 \times 131 \]
30130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57024 |
| Euler totient φ(n) | 11440 |
| Square | 907816900 |
| Cube | 27352523197000 |
| Square root | 173.579953 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.013 × |
30130 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand one hundred and thirty |
| Binary (base 2) | 111010110110010 |
| Octal (base 8) | 72662 |
| Hexadecimal (base 16) | 75B2 |
| Base 3 | 1112022221 |
| As time | 30130 seconds = 8 h 22 min 10 s |
Is 30130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30130 ÷ 2 = 15065) | 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 (30130 ÷ 5 = 6026) | 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 2) | 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 | Yes (30130 ÷ 10 = 3013) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 30130 a prime number?
No. 30130 = 2 × 5 × 23 × 131, so it is divisible by 2.
What are the factors of 30130?
1, 2, 5, 10, 23, 46, 115, 131, 230, 262, 655, 1310, 3013, 6026, 15065, 30130.
What is 30130 in binary?
111010110110010 (hexadecimal 75B2, octal 72662).
What is the square root of 30130?
About 173.5800.
Is 30130 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 30130?
30130 is a happy number: repeatedly adding the squares of its digits reaches 1.