The number 37814
37814 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 37 × 73. Divisors (16): 1, 2, 7, 14, 37, 73, 74, 146, 259, 511, 518, 1022, 2701, 5402, 18907, 37814.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37814: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37814 is composite. Its prime factorisation is
- 3
The divisors add up to 67488; without 37814 itself that is 29674, so 37814 is deficient (29674 is less than 37814). Euler's totient φ(37814) = 15552 numbers up to 37814 share no factor with it.
- 4
The digits of 37814 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37814 = 2 \times 7 \times 37 \times 73 \]
37814 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67488 |
| Euler totient φ(n) | 15552 |
| Square | 1429898596 |
| Cube | 54070185509144 |
| Square root | 194.458222 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7814 × |
37814 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and fourteen |
| Binary (base 2) | 1001001110110110 |
| Octal (base 8) | 111666 |
| Hexadecimal (base 16) | 93B6 |
| Base 3 | 1220212112 |
| As time | 37814 seconds = 10 h 30 min 14 s |
Is 37814 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37814 ÷ 2 = 18907) | 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 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (37814 ÷ 7 = 5402) | 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 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37814 a prime number?
No. 37814 = 2 × 7 × 37 × 73, so it is divisible by 2.
What are the factors of 37814?
1, 2, 7, 14, 37, 73, 74, 146, 259, 511, 518, 1022, 2701, 5402, 18907, 37814.
What is 37814 in binary?
1001001110110110 (hexadecimal 93B6, octal 111666).
What is the square root of 37814?
About 194.4582.
Is 37814 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37814?
37814 is a happy number: repeatedly adding the squares of its digits reaches 1.