The number 19404

Q: Is 19404 a prime number?

No. 19404 = 2^2 × 3^2 × 7^2 × 11, so it is divisible by 2.

19404 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × $7^{2}$ × 11. Divisors (54): 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36 … 19404.

Number

Pick any whole number from 1 to 100,000.

19404 = 2^{2} \times 3^{2} \times 7^{2} \times 11

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How to work it out

1
What is special about 19404: a Harshad number: divisible by its digit sum 18.
2
19404 is composite. Its prime factorisation is
$19404 = 2^{2} \times 3^{2} \times 7^{2} \times 11$
3
The divisors add up to 62244; without 19404 itself that is 42840, so 19404 is abundant (42840 is more than 19404). Euler's totient φ(19404) = 5040 numbers up to 19404 share no factor with it.
4
The digits of 19404 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.

LaTeX source of the formulas on this page

\[ 19404 = 2^{2} \times 3^{2} \times 7^{2} \times 11 \]

19404 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	62244
Euler totient φ(n)	5040
Square	376515216
Cube	7305901251264
Square root	139.298241 (= 42√11)
Digit sum / digital root	18 / 9
Collatz steps to 1	167
Scientific notation	1.9404 × $10^{4}$

19404 in other forms

Form	Value
In words	nineteen thousand four hundred and four
Binary (base 2)	100101111001100
Octal (base 8)	45714
Hexadecimal (base 16)	4BCC
Base 3	222121200
As time	19404 seconds = 5 h 23 min 24 s

Is 19404 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (19404 ÷ 2 = 9702)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (19404 ÷ 3 = 6468)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (19404 ÷ 4 = 4851)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (19404 ÷ 6 = 3234)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (19404 ÷ 7 = 2772)	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	Yes (19404 ÷ 9 = 2156)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	Yes (19404 ÷ 11 = 1764)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (19404 ÷ 12 = 1617)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 19404 a prime number?

No. 19404 = $2^{2}$ × $3^{2}$ × $7^{2}$ × 11, so it is divisible by 2.

What are the factors of 19404?

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 49, 63, 66, 77, 84, 98, 99, 126, 132, 147, 154, 196, 198, 231, 252, 294, 308, 396, 441, 462, 539, 588, 693, 882, 924, 1078, 1386, 1617, 1764, 2156, 2772, 3234, 4851, 6468, 9702, 19404.

What is 19404 in binary?

100101111001100 (hexadecimal 4BCC, octal 45714).

What is the square root of 19404?

About 139.2982, exactly 42√11.

Is 19404 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 19404?

19404 is a Harshad number: divisible by its digit sum 18.