The number 37014
37014 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 31 × 199. Divisors (16): 1, 2, 3, 6, 31, 62, 93, 186, 199, 398, 597, 1194, 6169, 12338, 18507, 37014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37014 is composite. Its prime factorisation is
- 3
The divisors add up to 76800; without 37014 itself that is 39786, so 37014 is abundant (39786 is more than 37014). Euler's totient φ(37014) = 11880 numbers up to 37014 share no factor with it.
- 4
The digits of 37014 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37014 = 2 \times 3 \times 31 \times 199 \]
37014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76800 |
| Euler totient φ(n) | 11880 |
| Square | 1370036196 |
| Cube | 50710519758744 |
| Square root | 192.390228 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7014 × |
37014 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and fourteen |
| Binary (base 2) | 1001000010010110 |
| Octal (base 8) | 110226 |
| Hexadecimal (base 16) | 9096 |
| Base 3 | 1212202220 |
| As time | 37014 seconds = 10 h 16 min 54 s |
Is 37014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37014 ÷ 2 = 18507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37014 ÷ 3 = 12338) | 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 (37014 ÷ 6 = 6169) | 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 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 37014 a prime number?
No. 37014 = 2 × 3 × 31 × 199, so it is divisible by 2.
What are the factors of 37014?
1, 2, 3, 6, 31, 62, 93, 186, 199, 398, 597, 1194, 6169, 12338, 18507, 37014.
What is 37014 in binary?
1001000010010110 (hexadecimal 9096, octal 110226).
What is the square root of 37014?
About 192.3902.
Is 37014 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 37014?
It is a composite number with 16 divisors.