The number 1246
1246 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 89. Divisors (8): 1, 2, 7, 14, 89, 178, 623, 1246.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1246 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1246 is composite. Its prime factorisation is
- 3
The divisors add up to 2160; without 1246 itself that is 914, so 1246 is deficient (914 is less than 1246). Euler's totient φ(1246) = 528 numbers up to 1246 share no factor with it.
- 4
The digits of 1246 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1246 = 2 \times 7 \times 89 \]
1246 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2160 |
| Euler totient φ(n) | 528 |
| Square | 1552516 |
| Cube | 1934434936 |
| Square root | 35.298725 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 132 |
| Scientific notation | 1.246 × |
1246 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and forty-six |
| Roman numerals | MCCXLVI |
| Binary (base 2) | 10011011110 |
| Octal (base 8) | 2336 |
| Hexadecimal (base 16) | 4DE |
| Base 3 | 1201011 |
| As time | 1246 seconds = 20 min 46 s |
Is 1246 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1246 ÷ 2 = 623) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1246 ÷ 7 = 178) | 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 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1246 a prime number?
No. 1246 = 2 × 7 × 89, so it is divisible by 2.
What are the factors of 1246?
1, 2, 7, 14, 89, 178, 623, 1246.
What is 1246 in binary?
10011011110 (hexadecimal 4DE, octal 2336).
What is the square root of 1246?
About 35.2987.
What is 1246 in Roman numerals?
MCCXLVI.
Is 1246 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1246?
It is a composite number with 8 divisors.