The number 37996
37996 is a composite number with 24 divisors. Its prime factorisation is × 7 × 23 × 59. Divisors (24): 1, 2, 4, 7, 14, 23, 28, 46, 59, 92, 118, 161, 236, 322, 413, 644 … 37996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37996 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 37996 itself that is 42644, so 37996 is abundant (42644 is more than 37996). Euler's totient φ(37996) = 15312 numbers up to 37996 share no factor with it.
- 4
The digits of 37996 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37996 = 2^{2} \times 7 \times 23 \times 59 \]37996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 15312 |
| Square | 1443696016 |
| Cube | 54854673823936 |
| Square root | 194.925627 (= 2√9499) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.7996 × |
37996 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and ninety-six |
| Binary (base 2) | 1001010001101100 |
| Octal (base 8) | 112154 |
| Hexadecimal (base 16) | 946C |
| Base 3 | 1221010021 |
| As time | 37996 seconds = 10 h 33 min 16 s |
Is 37996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37996 ÷ 2 = 18998) | 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 (37996 ÷ 4 = 9499) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (37996 ÷ 7 = 5428) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 37996 a prime number?
No. 37996 = × 7 × 23 × 59, so it is divisible by 2.
What are the factors of 37996?
1, 2, 4, 7, 14, 23, 28, 46, 59, 92, 118, 161, 236, 322, 413, 644, 826, 1357, 1652, 2714, 5428, 9499, 18998, 37996.
What is 37996 in binary?
1001010001101100 (hexadecimal 946C, octal 112154).
What is the square root of 37996?
About 194.9256, exactly 2√9499.
Is 37996 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 37996?
It is a composite number with 24 divisors.