The number 37988
37988 is a composite number with 6 divisors. Its prime factorisation is × 9497. Divisors (6): 1, 2, 4, 9497, 18994, 37988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37988 is composite. Its prime factorisation is
- 3
The divisors add up to 66486; without 37988 itself that is 28498, so 37988 is deficient (28498 is less than 37988). Euler's totient φ(37988) = 18992 numbers up to 37988 share no factor with it.
- 4
The digits of 37988 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37988 = 2^{2} \times 9497 \]37988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 66486 |
| Euler totient φ(n) | 18992 |
| Square | 1443088144 |
| Cube | 54820032414272 |
| Square root | 194.905105 (= 2√9497) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.7988 × |
37988 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and eighty-eight |
| Binary (base 2) | 1001010001100100 |
| Octal (base 8) | 112144 |
| Hexadecimal (base 16) | 9464 |
| Base 3 | 1221002222 |
| As time | 37988 seconds = 10 h 33 min 8 s |
Is 37988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37988 ÷ 2 = 18994) | 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 (37988 ÷ 4 = 9497) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | 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 5) | 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 37988 a prime number?
No. 37988 = × 9497, so it is divisible by 2.
What are the factors of 37988?
1, 2, 4, 9497, 18994, 37988.
What is 37988 in binary?
1001010001100100 (hexadecimal 9464, octal 112144).
What is the square root of 37988?
About 194.9051, exactly 2√9497.
Is 37988 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 37988?
It is a composite number with 6 divisors.