The number 2431
2431 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 17. Divisors (8): 1, 11, 13, 17, 143, 187, 221, 2431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2431 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2431 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 2431 itself that is 593, so 2431 is deficient (593 is less than 2431). Euler's totient φ(2431) = 1920 numbers up to 2431 share no factor with it.
- 4
The digits of 2431 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2431 = 11 \times 13 \times 17 \]
2431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 1920 |
| Square | 5909761 |
| Cube | 14366628991 |
| Square root | 49.305172 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 2.431 × |
2431 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and thirty-one |
| Roman numerals | MMCDXXXI |
| Binary (base 2) | 100101111111 |
| Octal (base 8) | 4577 |
| Hexadecimal (base 16) | 97F |
| Base 3 | 10100001 |
| As time | 2431 seconds = 40 min 31 s |
Is 2431 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2431 ÷ 11 = 221) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2431 a prime number?
No. 2431 = 11 × 13 × 17, so it is divisible by 11.
What are the factors of 2431?
1, 11, 13, 17, 143, 187, 221, 2431.
What is 2431 in binary?
100101111111 (hexadecimal 97F, octal 4577).
What is the square root of 2431?
About 49.3052.
What is 2431 in Roman numerals?
MMCDXXXI.
Is 2431 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2431?
It is a composite number with 8 divisors.