The number 37998
37998 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2111. Divisors (12): 1, 2, 3, 6, 9, 18, 2111, 4222, 6333, 12666, 18999, 37998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37998 is composite. Its prime factorisation is
- 3
The divisors add up to 82368; without 37998 itself that is 44370, so 37998 is abundant (44370 is more than 37998). Euler's totient φ(37998) = 12660 numbers up to 37998 share no factor with it.
- 4
The digits of 37998 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37998 = 2 \times 3^{2} \times 2111 \]37998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82368 |
| Euler totient φ(n) | 12660 |
| Square | 1443848004 |
| Cube | 54863336455992 |
| Square root | 194.930757 (= 3√4222) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.7998 × |
37998 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and ninety-eight |
| Binary (base 2) | 1001010001101110 |
| Octal (base 8) | 112156 |
| Hexadecimal (base 16) | 946E |
| Base 3 | 1221010100 |
| As time | 37998 seconds = 10 h 33 min 18 s |
Is 37998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37998 ÷ 2 = 18999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37998 ÷ 3 = 12666) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37998 ÷ 6 = 6333) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (37998 ÷ 9 = 4222) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37998 a prime number?
No. 37998 = 2 × × 2111, so it is divisible by 2.
What are the factors of 37998?
1, 2, 3, 6, 9, 18, 2111, 4222, 6333, 12666, 18999, 37998.
What is 37998 in binary?
1001010001101110 (hexadecimal 946E, octal 112156).
What is the square root of 37998?
About 194.9308, exactly 3√4222.
Is 37998 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 37998?
It is a composite number with 12 divisors.