The number 38808

Q: Is 38808 a prime number?

No. 38808 = 2^3 × 3^2 × 7^2 × 11, so it is divisible by 2.

38808 is a composite number with 72 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × $7^{2}$ × 11. Divisors (72): 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28 … 38808.

Number

Pick any whole number from 1 to 100,000.

38808 = 2^{3} \times 3^{2} \times 7^{2} \times 11

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How to work it out

1
38808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
38808 is composite. Its prime factorisation is
$38808 = 2^{3} \times 3^{2} \times 7^{2} \times 11$
3
The divisors add up to 133380; without 38808 itself that is 94572, so 38808 is abundant (94572 is more than 38808). Euler's totient φ(38808) = 10080 numbers up to 38808 share no factor with it.
4
The digits of 38808 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 168 steps to reach 1.

LaTeX source of the formulas on this page

\[ 38808 = 2^{3} \times 3^{2} \times 7^{2} \times 11 \]

38808 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	133380
Euler totient φ(n)	10080
Square	1506060864
Cube	58447210010112
Square root	196.997462 (= 42√22)
Digit sum / digital root	27 / 9
Collatz steps to 1	168
Scientific notation	3.8808 × $10^{4}$

38808 in other forms

Form	Value
In words	thirty-eight thousand eight hundred and eight
Binary (base 2)	1001011110011000
Octal (base 8)	113630
Hexadecimal (base 16)	9798
Base 3	1222020100
As time	38808 seconds = 10 h 46 min 48 s

Is 38808 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (38808 ÷ 2 = 19404)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (38808 ÷ 3 = 12936)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (38808 ÷ 4 = 9702)	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 (38808 ÷ 6 = 6468)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (38808 ÷ 7 = 5544)	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 (38808 ÷ 8 = 4851)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (38808 ÷ 9 = 4312)	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 (38808 ÷ 11 = 3528)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (38808 ÷ 12 = 3234)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38808 a prime number?

No. 38808 = $2^{3}$ × $3^{2}$ × $7^{2}$ × 11, so it is divisible by 2.

What are the factors of 38808?

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 49, 56, 63, 66, 72, 77, 84, 88, 98, 99, 126, 132, 147, 154, 168, 196, 198, 231, 252, 264, 294, 308, 392, 396, 441, 462, 504, 539, 588, 616, 693, 792, 882, 924, 1078, 1176, 1386, 1617, 1764, 1848, 2156, 2772, 3234, 3528, 4312, 4851, 5544, 6468, 9702, 12936, 19404, 38808.

What is 38808 in binary?

1001011110011000 (hexadecimal 9798, octal 113630).

What is the square root of 38808?

About 196.9975, exactly 42√22.

Is 38808 divisible by 3?

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

What is special about the number 38808?

It is a composite number with 72 divisors.