The number 2338
2338 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 167. Divisors (8): 1, 2, 7, 14, 167, 334, 1169, 2338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2338: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2338 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 2338 itself that is 1694, so 2338 is deficient (1694 is less than 2338). Euler's totient φ(2338) = 996 numbers up to 2338 share no factor with it.
- 4
The digits of 2338 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2338 = 2 \times 7 \times 167 \]
2338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 996 |
| Square | 5466244 |
| Cube | 12780078472 |
| Square root | 48.352870 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 2.338 × |
2338 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and thirty-eight |
| Roman numerals | MMCCCXXXVIII |
| Binary (base 2) | 100100100010 |
| Octal (base 8) | 4442 |
| Hexadecimal (base 16) | 922 |
| Base 3 | 10012121 |
| As time | 2338 seconds = 38 min 58 s |
Is 2338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2338 ÷ 2 = 1169) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2338 ÷ 7 = 334) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2338 a prime number?
No. 2338 = 2 × 7 × 167, so it is divisible by 2.
What are the factors of 2338?
1, 2, 7, 14, 167, 334, 1169, 2338.
What is 2338 in binary?
100100100010 (hexadecimal 922, octal 4442).
What is the square root of 2338?
About 48.3529.
What is 2338 in Roman numerals?
MMCCCXXXVIII.
Is 2338 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2338?
2338 is a happy number: repeatedly adding the squares of its digits reaches 1.