The number 2380
2380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 17. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119 … 2380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2380 is composite. Its prime factorisation is
- 3
The divisors add up to 6048; without 2380 itself that is 3668, so 2380 is abundant (3668 is more than 2380). Euler's totient φ(2380) = 768 numbers up to 2380 share no factor with it.
- 4
The digits of 2380 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2380 = 2^{2} \times 5 \times 7 \times 17 \]2380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 6048 |
| Euler totient φ(n) | 768 |
| Square | 5664400 |
| Cube | 13481272000 |
| Square root | 48.785244 (= 2√595) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 2.38 × |
2380 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and eighty |
| Roman numerals | MMCCCLXXX |
| Binary (base 2) | 100101001100 |
| Octal (base 8) | 4514 |
| Hexadecimal (base 16) | 94C |
| Base 3 | 10021011 |
| As time | 2380 seconds = 39 min 40 s |
Is 2380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2380 ÷ 2 = 1190) | 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 (2380 ÷ 4 = 595) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2380 ÷ 5 = 476) | 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 | Yes (2380 ÷ 7 = 340) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2380 ÷ 10 = 238) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 2380 a prime number?
No. 2380 = × 5 × 7 × 17, so it is divisible by 2.
What are the factors of 2380?
1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380.
What is 2380 in binary?
100101001100 (hexadecimal 94C, octal 4514).
What is the square root of 2380?
About 48.7852, exactly 2√595.
What is 2380 in Roman numerals?
MMCCCLXXX.
Is 2380 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2380?
It is a composite number with 24 divisors.