The number 38088

Q: Is 38088 a prime number?

No. 38088 = 2^3 × 3^2 × 23^2, so it is divisible by 2.

38088 is a composite number with 36 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × $23^{2}$ . Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92 … 38088.

Number

Pick any whole number from 1 to 100,000.

38088 = 2^{3} \times 3^{2} \times 23^{2}

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How to work it out

1
38088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
38088 is composite. Its prime factorisation is
$38088 = 2^{3} \times 3^{2} \times 23^{2}$
3
The divisors add up to 107835; without 38088 itself that is 69747, so 38088 is abundant (69747 is more than 38088). Euler's totient φ(38088) = 12144 numbers up to 38088 share no factor with it.
4
The digits of 38088 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.

LaTeX source of the formulas on this page

\[ 38088 = 2^{3} \times 3^{2} \times 23^{2} \]

38088 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	107835
Euler totient φ(n)	12144
Square	1450695744
Cube	55254099497472
Square root	195.161472 (= 138√2)
Digit sum / digital root	27 / 9
Collatz steps to 1	36
Scientific notation	3.8088 × $10^{4}$

38088 in other forms

Form	Value
In words	thirty-eight thousand and eighty-eight
Binary (base 2)	1001010011001000
Octal (base 8)	112310
Hexadecimal (base 16)	94C8
Base 3	1221020200
As time	38088 seconds = 10 h 34 min 48 s

Is 38088 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (38088 ÷ 2 = 19044)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (38088 ÷ 3 = 12696)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (38088 ÷ 4 = 9522)	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 (38088 ÷ 6 = 6348)	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 (38088 ÷ 8 = 4761)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (38088 ÷ 9 = 4232)	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 6)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (38088 ÷ 12 = 3174)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38088 a prime number?

No. 38088 = $2^{3}$ × $3^{2}$ × $23^{2}$ , so it is divisible by 2.

What are the factors of 38088?

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 529, 552, 828, 1058, 1587, 1656, 2116, 3174, 4232, 4761, 6348, 9522, 12696, 19044, 38088.

What is 38088 in binary?

1001010011001000 (hexadecimal 94C8, octal 112310).

What is the square root of 38088?

About 195.1615, exactly 138√2.

Is 38088 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 38088?

It is a composite number with 36 divisors.