The number 30940
30940 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 13 × 17. Divisors (48): 1, 2, 4, 5, 7, 10, 13, 14, 17, 20, 26, 28, 34, 35, 52, 65 … 30940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30940 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 30940 itself that is 53732, so 30940 is abundant (53732 is more than 30940). Euler's totient φ(30940) = 9216 numbers up to 30940 share no factor with it.
- 4
The digits of 30940 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30940 = 2^{2} \times 5 \times 7 \times 13 \times 17 \]30940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 9216 |
| Square | 957283600 |
| Cube | 29618354584000 |
| Square root | 175.897698 (= 2√7735) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.094 × |
30940 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand nine hundred and forty |
| Binary (base 2) | 111100011011100 |
| Octal (base 8) | 74334 |
| Hexadecimal (base 16) | 78DC |
| Base 3 | 1120102221 |
| As time | 30940 seconds = 8 h 35 min 40 s |
Is 30940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30940 ÷ 2 = 15470) | 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 | Yes (30940 ÷ 4 = 7735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30940 ÷ 5 = 6188) | 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 | Yes (30940 ÷ 7 = 4420) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (30940 ÷ 10 = 3094) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30940 a prime number?
No. 30940 = × 5 × 7 × 13 × 17, so it is divisible by 2.
What are the factors of 30940?
1, 2, 4, 5, 7, 10, 13, 14, 17, 20, 26, 28, 34, 35, 52, 65, 68, 70, 85, 91, 119, 130, 140, 170, 182, 221, 238, 260, 340, 364, 442, 455, 476, 595, 884, 910, 1105, 1190, 1547, 1820, 2210, 2380, 3094, 4420, 6188, 7735, 15470, 30940.
What is 30940 in binary?
111100011011100 (hexadecimal 78DC, octal 74334).
What is the square root of 30940?
About 175.8977, exactly 2√7735.
Is 30940 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 30940?
It is a composite number with 48 divisors.