The number 3030
3030 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 101. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3030: a Harshad number: divisible by its digit sum 6.
- 2
3030 is composite. Its prime factorisation is
- 3
The divisors add up to 7344; without 3030 itself that is 4314, so 3030 is abundant (4314 is more than 3030). Euler's totient φ(3030) = 800 numbers up to 3030 share no factor with it.
- 4
The digits of 3030 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3030 = 2 \times 3 \times 5 \times 101 \]
3030 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7344 |
| Euler totient φ(n) | 800 |
| Square | 9180900 |
| Cube | 27818127000 |
| Square root | 55.045436 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 141 |
| Scientific notation | 3.03 × |
3030 in other forms
| Form | Value |
|---|---|
| In words | three thousand and thirty |
| Roman numerals | MMMXXX |
| Binary (base 2) | 101111010110 |
| Octal (base 8) | 5726 |
| Hexadecimal (base 16) | BD6 |
| Base 3 | 11011020 |
| As time | 3030 seconds = 50 min 30 s |
Is 3030 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3030 ÷ 2 = 1515) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3030 ÷ 3 = 1010) | 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 (3030 ÷ 5 = 606) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3030 ÷ 6 = 505) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3030 ÷ 10 = 303) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3030 a prime number?
No. 3030 = 2 × 3 × 5 × 101, so it is divisible by 2.
What are the factors of 3030?
1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030.
What is 3030 in binary?
101111010110 (hexadecimal BD6, octal 5726).
What is the square root of 3030?
About 55.0454.
What is 3030 in Roman numerals?
MMMXXX.
Is 3030 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 3030?
3030 is a Harshad number: divisible by its digit sum 6.