The number 37864
37864 is a composite number with 8 divisors. Its prime factorisation is × 4733. Divisors (8): 1, 2, 4, 8, 4733, 9466, 18932, 37864.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37864 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37864 is composite. Its prime factorisation is
- 3
The divisors add up to 71010; without 37864 itself that is 33146, so 37864 is deficient (33146 is less than 37864). Euler's totient φ(37864) = 18928 numbers up to 37864 share no factor with it.
- 4
The digits of 37864 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37864 = 2^{3} \times 4733 \]37864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71010 |
| Euler totient φ(n) | 18928 |
| Square | 1433682496 |
| Cube | 54284954028544 |
| Square root | 194.586742 (= 2√9466) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7864 × |
37864 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and sixty-four |
| Binary (base 2) | 1001001111101000 |
| Octal (base 8) | 111750 |
| Hexadecimal (base 16) | 93E8 |
| Base 3 | 1220221101 |
| As time | 37864 seconds = 10 h 31 min 4 s |
Is 37864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37864 ÷ 2 = 18932) | 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 | Yes (37864 ÷ 4 = 9466) | 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 | No (remainder 1) | 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 | Yes (37864 ÷ 8 = 4733) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37864 a prime number?
No. 37864 = × 4733, so it is divisible by 2.
What are the factors of 37864?
1, 2, 4, 8, 4733, 9466, 18932, 37864.
What is 37864 in binary?
1001001111101000 (hexadecimal 93E8, octal 111750).
What is the square root of 37864?
About 194.5867, exactly 2√9466.
Is 37864 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 37864?
It is a composite number with 8 divisors.