The number 1230
1230 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 41. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1230: a Harshad number: divisible by its digit sum 6.
- 2
1230 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 1230 itself that is 1794, so 1230 is abundant (1794 is more than 1230). Euler's totient φ(1230) = 320 numbers up to 1230 share no factor with it.
- 4
The digits of 1230 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1230 = 2 \times 3 \times 5 \times 41 \]
1230 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 320 |
| Square | 1512900 |
| Cube | 1860867000 |
| Square root | 35.071356 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 1.23 × |
1230 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and thirty |
| Roman numerals | MCCXXX |
| Binary (base 2) | 10011001110 |
| Octal (base 8) | 2316 |
| Hexadecimal (base 16) | 4CE |
| Base 3 | 1200120 |
| As time | 1230 seconds = 20 min 30 s |
Is 1230 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1230 ÷ 2 = 615) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1230 ÷ 3 = 410) | 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 (1230 ÷ 5 = 246) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1230 ÷ 6 = 205) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (1230 ÷ 10 = 123) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 1230 a prime number?
No. 1230 = 2 × 3 × 5 × 41, so it is divisible by 2.
What are the factors of 1230?
1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230.
What is 1230 in binary?
10011001110 (hexadecimal 4CE, octal 2316).
What is the square root of 1230?
About 35.0714.
What is 1230 in Roman numerals?
MCCXXX.
Is 1230 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 1230?
1230 is a Harshad number: divisible by its digit sum 6.