The number 38148

Q: Is 38148 a prime number?

No. 38148 = 2^2 × 3 × 11 × 17^2, so it is divisible by 2.

38148 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × 11 × $17^{2}$ . Divisors (36): 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102 … 38148.

Number

Pick any whole number from 1 to 100,000.

38148 = 2^{2} \times 3 \times 11 \times 17^{2}

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How to work it out

1
38148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
38148 is composite. Its prime factorisation is
$38148 = 2^{2} \times 3 \times 11 \times 17^{2}$
3
The divisors add up to 103152; without 38148 itself that is 65004, so 38148 is abundant (65004 is more than 38148). Euler's totient φ(38148) = 10880 numbers up to 38148 share no factor with it.
4
The digits of 38148 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.

LaTeX source of the formulas on this page

\[ 38148 = 2^{2} \times 3 \times 11 \times 17^{2} \]

38148 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	103152
Euler totient φ(n)	10880
Square	1455269904
Cube	55515636297792
Square root	195.315130 (= 34√33)
Digit sum / digital root	24 / 6
Collatz steps to 1	80
Scientific notation	3.8148 × $10^{4}$

38148 in other forms

Form	Value
In words	thirty-eight thousand one hundred and forty-eight
Binary (base 2)	1001010100000100
Octal (base 8)	112404
Hexadecimal (base 16)	9504
Base 3	1221022220
As time	38148 seconds = 10 h 35 min 48 s

Is 38148 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (38148 ÷ 2 = 19074)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (38148 ÷ 3 = 12716)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (38148 ÷ 4 = 9537)	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 (38148 ÷ 6 = 6358)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 5)	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 6)	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	Yes (38148 ÷ 11 = 3468)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (38148 ÷ 12 = 3179)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38148 a prime number?

No. 38148 = $2^{2}$ × 3 × 11 × $17^{2}$ , so it is divisible by 2.

What are the factors of 38148?

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 289, 374, 561, 578, 748, 867, 1122, 1156, 1734, 2244, 3179, 3468, 6358, 9537, 12716, 19074, 38148.

What is 38148 in binary?

1001010100000100 (hexadecimal 9504, octal 112404).

What is the square root of 38148?

About 195.3151, exactly 34√33.

Is 38148 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 38148?

It is a composite number with 36 divisors.