The number 2346
2346 is a triangular number: 1 + 2 + … + 68 = 2346. Its prime factorisation is 2 × 3 × 17 × 23. Divisors (16): 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2346: a triangular number: 1 + 2 + … + 68 = 2346.
- 2
2346 is composite. Its prime factorisation is
- 3
The divisors add up to 5184; without 2346 itself that is 2838, so 2346 is abundant (2838 is more than 2346). Euler's totient φ(2346) = 704 numbers up to 2346 share no factor with it.
- 4
The digits of 2346 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2346 = 2 \times 3 \times 17 \times 23 \]
2346 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5184 |
| Euler totient φ(n) | 704 |
| Square | 5503716 |
| Cube | 12911717736 |
| Square root | 48.435524 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 120 |
| Scientific notation | 2.346 × |
2346 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and forty-six |
| Roman numerals | MMCCCXLVI |
| Binary (base 2) | 100100101010 |
| Octal (base 8) | 4452 |
| Hexadecimal (base 16) | 92A |
| Base 3 | 10012220 |
| As time | 2346 seconds = 39 min 6 s |
Is 2346 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2346 ÷ 2 = 1173) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2346 ÷ 3 = 782) | 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 (2346 ÷ 6 = 391) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2346 a prime number?
No. 2346 = 2 × 3 × 17 × 23, so it is divisible by 2.
What are the factors of 2346?
1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346.
What is 2346 in binary?
100100101010 (hexadecimal 92A, octal 4452).
What is the square root of 2346?
About 48.4355.
What is 2346 in Roman numerals?
MMCCCXLVI.
Is 2346 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2346?
2346 is a triangular number: 1 + 2 + … + 68 = 2346.