The number 2406
2406 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 401. Divisors (8): 1, 2, 3, 6, 401, 802, 1203, 2406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2406 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2406 is composite. Its prime factorisation is
- 3
The divisors add up to 4824; without 2406 itself that is 2418, so 2406 is abundant (2418 is more than 2406). Euler's totient φ(2406) = 800 numbers up to 2406 share no factor with it.
- 4
The digits of 2406 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2406 = 2 \times 3 \times 401 \]
2406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4824 |
| Euler totient φ(n) | 800 |
| Square | 5788836 |
| Cube | 13927939416 |
| Square root | 49.050994 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 2.406 × |
2406 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and six |
| Roman numerals | MMCDVI |
| Binary (base 2) | 100101100110 |
| Octal (base 8) | 4546 |
| Hexadecimal (base 16) | 966 |
| Base 3 | 10022010 |
| As time | 2406 seconds = 40 min 6 s |
Is 2406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2406 ÷ 2 = 1203) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2406 ÷ 3 = 802) | 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 (2406 ÷ 6 = 401) | 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 3) | 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 8) | 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 2406 a prime number?
No. 2406 = 2 × 3 × 401, so it is divisible by 2.
What are the factors of 2406?
1, 2, 3, 6, 401, 802, 1203, 2406.
What is 2406 in binary?
100101100110 (hexadecimal 966, octal 4546).
What is the square root of 2406?
About 49.0510.
What is 2406 in Roman numerals?
MMCDVI.
Is 2406 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2406?
It is a composite number with 8 divisors.