The number 37114
37114 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 241. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 241, 482, 1687, 2651, 3374, 5302, 18557, 37114.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37114 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37114 is composite. Its prime factorisation is
- 3
The divisors add up to 69696; without 37114 itself that is 32582, so 37114 is deficient (32582 is less than 37114). Euler's totient φ(37114) = 14400 numbers up to 37114 share no factor with it.
- 4
The digits of 37114 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37114 = 2 \times 7 \times 11 \times 241 \]
37114 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69696 |
| Euler totient φ(n) | 14400 |
| Square | 1377448996 |
| Cube | 51122642037544 |
| Square root | 192.649942 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7114 × |
37114 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and fourteen |
| Binary (base 2) | 1001000011111010 |
| Octal (base 8) | 110372 |
| Hexadecimal (base 16) | 90FA |
| Base 3 | 1212220121 |
| As time | 37114 seconds = 10 h 18 min 34 s |
Is 37114 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37114 ÷ 2 = 18557) | 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 4) | 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 (37114 ÷ 7 = 5302) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37114 ÷ 11 = 3374) | 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 37114 a prime number?
No. 37114 = 2 × 7 × 11 × 241, so it is divisible by 2.
What are the factors of 37114?
1, 2, 7, 11, 14, 22, 77, 154, 241, 482, 1687, 2651, 3374, 5302, 18557, 37114.
What is 37114 in binary?
1001000011111010 (hexadecimal 90FA, octal 110372).
What is the square root of 37114?
About 192.6499.
Is 37114 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 37114?
It is a composite number with 16 divisors.