The number 37964
37964 is a composite number with 6 divisors. Its prime factorisation is × 9491. Divisors (6): 1, 2, 4, 9491, 18982, 37964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37964 is composite. Its prime factorisation is
- 3
The divisors add up to 66444; without 37964 itself that is 28480, so 37964 is deficient (28480 is less than 37964). Euler's totient φ(37964) = 18980 numbers up to 37964 share no factor with it.
- 4
The digits of 37964 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37964 = 2^{2} \times 9491 \]37964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 66444 |
| Euler totient φ(n) | 18980 |
| Square | 1441265296 |
| Cube | 54716195697344 |
| Square root | 194.843527 (= 2√9491) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.7964 × |
37964 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and sixty-four |
| Binary (base 2) | 1001010001001100 |
| Octal (base 8) | 112114 |
| Hexadecimal (base 16) | 944C |
| Base 3 | 1221002002 |
| As time | 37964 seconds = 10 h 32 min 44 s |
Is 37964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37964 ÷ 2 = 18982) | 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 | Yes (37964 ÷ 4 = 9491) | 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 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37964 a prime number?
No. 37964 = × 9491, so it is divisible by 2.
What are the factors of 37964?
1, 2, 4, 9491, 18982, 37964.
What is 37964 in binary?
1001010001001100 (hexadecimal 944C, octal 112114).
What is the square root of 37964?
About 194.8435, exactly 2√9491.
Is 37964 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 37964?
It is a composite number with 6 divisors.