The number 2370
2370 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 79. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2370 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2370 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 2370 itself that is 3390, so 2370 is abundant (3390 is more than 2370). Euler's totient φ(2370) = 624 numbers up to 2370 share no factor with it.
- 4
The digits of 2370 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2370 = 2 \times 3 \times 5 \times 79 \]
2370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 624 |
| Square | 5616900 |
| Cube | 13312053000 |
| Square root | 48.682646 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 2.37 × |
2370 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and seventy |
| Roman numerals | MMCCCLXX |
| Binary (base 2) | 100101000010 |
| Octal (base 8) | 4502 |
| Hexadecimal (base 16) | 942 |
| Base 3 | 10020210 |
| As time | 2370 seconds = 39 min 30 s |
Is 2370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2370 ÷ 2 = 1185) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2370 ÷ 3 = 790) | 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 | Yes (2370 ÷ 5 = 474) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2370 ÷ 6 = 395) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2370 ÷ 10 = 237) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 2370 a prime number?
No. 2370 = 2 × 3 × 5 × 79, so it is divisible by 2.
What are the factors of 2370?
1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370.
What is 2370 in binary?
100101000010 (hexadecimal 942, octal 4502).
What is the square root of 2370?
About 48.6826.
What is 2370 in Roman numerals?
MMCCCLXX.
Is 2370 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2370?
It is a composite number with 16 divisors.