The number 2349
2349 is a composite number with 10 divisors. Its prime factorisation is × 29. Divisors (10): 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2349 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2349 is composite. Its prime factorisation is
- 3
The divisors add up to 3630; without 2349 itself that is 1281, so 2349 is deficient (1281 is less than 2349). Euler's totient φ(2349) = 1512 numbers up to 2349 share no factor with it.
- 4
The digits of 2349 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2349 = 3^{4} \times 29 \]2349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 3630 |
| Euler totient φ(n) | 1512 |
| Square | 5517801 |
| Cube | 12961314549 |
| Square root | 48.466483 (= 9√29) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 2.349 × |
2349 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and forty-nine |
| Roman numerals | MMCCCXLIX |
| Binary (base 2) | 100100101101 |
| Octal (base 8) | 4455 |
| Hexadecimal (base 16) | 92D |
| Base 3 | 10020000 |
| As time | 2349 seconds = 39 min 9 s |
Is 2349 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 | Yes (2349 ÷ 3 = 783) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2349 ÷ 9 = 261) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2349 a prime number?
No. 2349 = × 29, so it is divisible by 3.
What are the factors of 2349?
1, 3, 9, 27, 29, 81, 87, 261, 783, 2349.
What is 2349 in binary?
100100101101 (hexadecimal 92D, octal 4455).
What is the square root of 2349?
About 48.4665, exactly 9√29.
What is 2349 in Roman numerals?
MMCCCXLIX.
Is 2349 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2349?
It is a composite number with 10 divisors.