The number 2320
2320 is a composite number with 20 divisors. Its prime factorisation is × 5 × 29. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290 … 2320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2320 is composite. Its prime factorisation is
- 3
The divisors add up to 5580; without 2320 itself that is 3260, so 2320 is abundant (3260 is more than 2320). Euler's totient φ(2320) = 896 numbers up to 2320 share no factor with it.
- 4
The digits of 2320 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2320 = 2^{4} \times 5 \times 29 \]2320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 5580 |
| Euler totient φ(n) | 896 |
| Square | 5382400 |
| Cube | 12487168000 |
| Square root | 48.166378 (= 4√145) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 120 |
| Scientific notation | 2.32 × |
2320 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and twenty |
| Roman numerals | MMCCCXX |
| Binary (base 2) | 100100010000 |
| Octal (base 8) | 4420 |
| Hexadecimal (base 16) | 910 |
| Base 3 | 10011221 |
| As time | 2320 seconds = 38 min 40 s |
Is 2320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2320 ÷ 2 = 1160) | 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 | Yes (2320 ÷ 4 = 580) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2320 ÷ 5 = 464) | 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 | No (remainder 3) | 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 | Yes (2320 ÷ 8 = 290) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2320 ÷ 10 = 232) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2320 a prime number?
No. 2320 = × 5 × 29, so it is divisible by 2.
What are the factors of 2320?
1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320.
What is 2320 in binary?
100100010000 (hexadecimal 910, octal 4420).
What is the square root of 2320?
About 48.1664, exactly 4√145.
What is 2320 in Roman numerals?
MMCCCXX.
Is 2320 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 2320?
It is a composite number with 20 divisors.