The number 37314
37314 is a composite number with 16 divisors. Its prime factorisation is 2 × × 691. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 691, 1382, 2073, 4146, 6219, 12438, 18657, 37314.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37314: a Harshad number: divisible by its digit sum 18.
- 2
37314 is composite. Its prime factorisation is
- 3
The divisors add up to 83040; without 37314 itself that is 45726, so 37314 is abundant (45726 is more than 37314). Euler's totient φ(37314) = 12420 numbers up to 37314 share no factor with it.
- 4
The digits of 37314 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37314 = 2 \times 3^{3} \times 691 \]37314 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 83040 |
| Euler totient φ(n) | 12420 |
| Square | 1392334596 |
| Cube | 51953573115144 |
| Square root | 193.168320 (= 3√4146) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7314 × |
37314 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and fourteen |
| Binary (base 2) | 1001000111000010 |
| Octal (base 8) | 110702 |
| Hexadecimal (base 16) | 91C2 |
| Base 3 | 1220012000 |
| As time | 37314 seconds = 10 h 21 min 54 s |
Is 37314 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37314 ÷ 2 = 18657) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37314 ÷ 3 = 12438) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37314 ÷ 6 = 6219) | 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 | Yes (37314 ÷ 9 = 4146) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 37314 a prime number?
No. 37314 = 2 × × 691, so it is divisible by 2.
What are the factors of 37314?
1, 2, 3, 6, 9, 18, 27, 54, 691, 1382, 2073, 4146, 6219, 12438, 18657, 37314.
What is 37314 in binary?
1001000111000010 (hexadecimal 91C2, octal 110702).
What is the square root of 37314?
About 193.1683, exactly 3√4146.
Is 37314 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 37314?
37314 is a Harshad number: divisible by its digit sum 18.