The number 2373
2373 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 113. Divisors (8): 1, 3, 7, 21, 113, 339, 791, 2373.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2373 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2373 is composite. Its prime factorisation is
- 3
The divisors add up to 3648; without 2373 itself that is 1275, so 2373 is deficient (1275 is less than 2373). Euler's totient φ(2373) = 1344 numbers up to 2373 share no factor with it.
- 4
The digits of 2373 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2373 = 3 \times 7 \times 113 \]
2373 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3648 |
| Euler totient φ(n) | 1344 |
| Square | 5631129 |
| Cube | 13362669117 |
| Square root | 48.713448 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 2.373 × |
2373 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and seventy-three |
| Roman numerals | MMCCCLXXIII |
| Binary (base 2) | 100101000101 |
| Octal (base 8) | 4505 |
| Hexadecimal (base 16) | 945 |
| Base 3 | 10020220 |
| As time | 2373 seconds = 39 min 33 s |
Is 2373 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 (2373 ÷ 3 = 791) | 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 3) | 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 | Yes (2373 ÷ 7 = 339) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 2373 a prime number?
No. 2373 = 3 × 7 × 113, so it is divisible by 3.
What are the factors of 2373?
1, 3, 7, 21, 113, 339, 791, 2373.
What is 2373 in binary?
100101000101 (hexadecimal 945, octal 4505).
What is the square root of 2373?
About 48.7134.
What is 2373 in Roman numerals?
MMCCCLXXIII.
Is 2373 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2373?
It is a composite number with 8 divisors.