The number 30020
30020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 79. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 76, 79, 95, 158, 190, 316, 380, 395 … 30020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30020: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 5.
- 2
30020 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 30020 itself that is 37180, so 30020 is abundant (37180 is more than 30020). Euler's totient φ(30020) = 11232 numbers up to 30020 share no factor with it.
- 4
The digits of 30020 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30020 = 2^{2} \times 5 \times 19 \times 79 \]30020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 11232 |
| Square | 901200400 |
| Cube | 27054036008000 |
| Square root | 173.262806 (= 2√7505) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.002 × |
30020 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and twenty |
| Binary (base 2) | 111010101000100 |
| Octal (base 8) | 72504 |
| Hexadecimal (base 16) | 7544 |
| Base 3 | 1112011212 |
| As time | 30020 seconds = 8 h 20 min 20 s |
Is 30020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30020 ÷ 2 = 15010) | 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 (30020 ÷ 4 = 7505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30020 ÷ 5 = 6004) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (30020 ÷ 10 = 3002) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30020 a prime number?
No. 30020 = × 5 × 19 × 79, so it is divisible by 2.
What are the factors of 30020?
1, 2, 4, 5, 10, 19, 20, 38, 76, 79, 95, 158, 190, 316, 380, 395, 790, 1501, 1580, 3002, 6004, 7505, 15010, 30020.
What is 30020 in binary?
111010101000100 (hexadecimal 7544, octal 72504).
What is the square root of 30020?
About 173.2628, exactly 2√7505.
Is 30020 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 30020?
30020 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 5.