The number 1206
1206 is a composite number with 12 divisors. Its prime factorisation is 2 × × 67. Divisors (12): 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1206: a Harshad number: divisible by its digit sum 9.
- 2
1206 is composite. Its prime factorisation is
- 3
The divisors add up to 2652; without 1206 itself that is 1446, so 1206 is abundant (1446 is more than 1206). Euler's totient φ(1206) = 396 numbers up to 1206 share no factor with it.
- 4
The digits of 1206 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1206 = 2 \times 3^{2} \times 67 \]1206 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2652 |
| Euler totient φ(n) | 396 |
| Square | 1454436 |
| Cube | 1754049816 |
| Square root | 34.727511 (= 3√134) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 1.206 × |
1206 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and six |
| Roman numerals | MCCVI |
| Binary (base 2) | 10010110110 |
| Octal (base 8) | 2266 |
| Hexadecimal (base 16) | 4B6 |
| Base 3 | 1122200 |
| As time | 1206 seconds = 20 min 6 s |
Is 1206 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1206 ÷ 2 = 603) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1206 ÷ 3 = 402) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1206 ÷ 6 = 201) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (1206 ÷ 9 = 134) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 1206 a prime number?
No. 1206 = 2 × × 67, so it is divisible by 2.
What are the factors of 1206?
1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206.
What is 1206 in binary?
10010110110 (hexadecimal 4B6, octal 2266).
What is the square root of 1206?
About 34.7275, exactly 3√134.
What is 1206 in Roman numerals?
MCCVI.
Is 1206 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1206?
1206 is a Harshad number: divisible by its digit sum 9.