The number 37343
37343 is a composite number with 4 divisors. Its prime factorisation is 107 × 349. Divisors (4): 1, 107, 349, 37343.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37343: a semiprime: 107 × 349, the product of two primes.
- 2
37343 is composite. Its prime factorisation is
- 3
The divisors add up to 37800; without 37343 itself that is 457, so 37343 is deficient (457 is less than 37343). Euler's totient φ(37343) = 36888 numbers up to 37343 share no factor with it.
- 4
The digits of 37343 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37343 = 107 \times 349 \]
37343 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37800 |
| Euler totient φ(n) | 36888 |
| Square | 1394499649 |
| Cube | 52074800392607 |
| Square root | 193.243370 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.7343 × |
37343 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and forty-three |
| Binary (base 2) | 1001000111011111 |
| Octal (base 8) | 110737 |
| Hexadecimal (base 16) | 91DF |
| Base 3 | 1220020002 |
| As time | 37343 seconds = 10 h 22 min 23 s |
Is 37343 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37343 a prime number?
No. 37343 = 107 × 349, so it is divisible by 107.
What are the factors of 37343?
1, 107, 349, 37343.
What is 37343 in binary?
1001000111011111 (hexadecimal 91DF, octal 110737).
What is the square root of 37343?
About 193.2434.
Is 37343 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37343?
37343 is a semiprime: 107 × 349, the product of two primes.