The number 30990
30990 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1033. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1033, 2066, 3099, 5165, 6198, 10330, 15495, 30990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30990 is composite. Its prime factorisation is
- 3
The divisors add up to 74448; without 30990 itself that is 43458, so 30990 is abundant (43458 is more than 30990). Euler's totient φ(30990) = 8256 numbers up to 30990 share no factor with it.
- 4
The digits of 30990 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30990 = 2 \times 3 \times 5 \times 1033 \]
30990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74448 |
| Euler totient φ(n) | 8256 |
| Square | 960380100 |
| Cube | 29762179299000 |
| Square root | 176.039768 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.099 × |
30990 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand nine hundred and ninety |
| Binary (base 2) | 111100100001110 |
| Octal (base 8) | 74416 |
| Hexadecimal (base 16) | 790E |
| Base 3 | 1120111210 |
| As time | 30990 seconds = 8 h 36 min 30 s |
Is 30990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30990 ÷ 2 = 15495) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30990 ÷ 3 = 10330) | 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 (30990 ÷ 5 = 6198) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (30990 ÷ 6 = 5165) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (30990 ÷ 10 = 3099) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 30990 a prime number?
No. 30990 = 2 × 3 × 5 × 1033, so it is divisible by 2.
What are the factors of 30990?
1, 2, 3, 5, 6, 10, 15, 30, 1033, 2066, 3099, 5165, 6198, 10330, 15495, 30990.
What is 30990 in binary?
111100100001110 (hexadecimal 790E, octal 74416).
What is the square root of 30990?
About 176.0398.
Is 30990 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 30990?
It is a composite number with 16 divisors.