The number 930
930 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 31. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
930 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
930 is composite. Its prime factorisation is
- 3
The divisors add up to 2304; without 930 itself that is 1374, so 930 is abundant (1374 is more than 930). Euler's totient φ(930) = 240 numbers up to 930 share no factor with it.
- 4
The digits of 930 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 930 = 2 \times 3 \times 5 \times 31 \]
930 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2304 |
| Euler totient φ(n) | 240 |
| Square | 864900 |
| Cube | 804357000 |
| Square root | 30.495901 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 9.3 × |
930 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and thirty |
| Roman numerals | CMXXX |
| Binary (base 2) | 1110100010 |
| Octal (base 8) | 1642 |
| Hexadecimal (base 16) | 3A2 |
| Base 3 | 1021110 |
| As time | 930 seconds = 15 min 30 s |
Is 930 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (930 ÷ 2 = 465) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (930 ÷ 3 = 310) | 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 (930 ÷ 5 = 186) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (930 ÷ 6 = 155) | 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 2) | 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 (930 ÷ 10 = 93) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 930 a prime number?
No. 930 = 2 × 3 × 5 × 31, so it is divisible by 2.
What are the factors of 930?
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.
What is 930 in binary?
1110100010 (hexadecimal 3A2, octal 1642).
What is the square root of 930?
About 30.4959.
What is 930 in Roman numerals?
CMXXX.
Is 930 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 930?
It is a composite number with 16 divisors.