The number 24336

Q: Is 24336 a prime number?

No. 24336 = 2^4 × 3^2 × 13^2, so it is divisible by 2.

24336 is a perfect square (156²). Its prime factorisation is $2^{4}$ × $3^{2}$ × $13^{2}$ . Divisors (45): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48 … 24336.

Number

Pick any whole number from 1 to 100,000.

24336 = 2^{4} \times 3^{2} \times 13^{2}

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How to work it out

1
What is special about 24336: a perfect square (156²); a Harshad number: divisible by its digit sum 18.
2
24336 is composite. Its prime factorisation is
$24336 = 2^{4} \times 3^{2} \times 13^{2}$
3
The divisors add up to 73749; without 24336 itself that is 49413, so 24336 is abundant (49413 is more than 24336). Euler's totient φ(24336) = 7488 numbers up to 24336 share no factor with it.
4
The digits of 24336 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 113 steps to reach 1.

LaTeX source of the formulas on this page

\[ 24336 = 2^{4} \times 3^{2} \times 13^{2} \]

24336 at a glance

Property	Value
Type	composite
Number of divisors	45
Sum of divisors	73749
Euler totient φ(n)	7488
Square	592240896
Cube	14412774445056
Square root	156
Digit sum / digital root	18 / 9
Collatz steps to 1	113
Scientific notation	2.4336 × $10^{4}$
Perfect power	$156^{2}$

24336 in other forms

Form	Value
In words	twenty-four thousand three hundred and thirty-six
Binary (base 2)	101111100010000
Octal (base 8)	57420
Hexadecimal (base 16)	5F10
Base 3	1020101100
As time	24336 seconds = 6 h 45 min 36 s

Is 24336 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (24336 ÷ 2 = 12168)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (24336 ÷ 3 = 8112)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (24336 ÷ 4 = 6084)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (24336 ÷ 6 = 4056)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 4)	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 (24336 ÷ 8 = 3042)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (24336 ÷ 9 = 2704)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 6)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (24336 ÷ 12 = 2028)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24336 a prime number?

No. 24336 = $2^{4}$ × $3^{2}$ × $13^{2}$ , so it is divisible by 2.

What are the factors of 24336?

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 169, 208, 234, 312, 338, 468, 507, 624, 676, 936, 1014, 1352, 1521, 1872, 2028, 2704, 3042, 4056, 6084, 8112, 12168, 24336.

What is 24336 in binary?

101111100010000 (hexadecimal 5F10, octal 57420).

What is the square root of 24336?

156, because 156 × 156 = 24336.

Is 24336 divisible by 3?

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

What is special about the number 24336?

24336 is a perfect square (156²); a Harshad number: divisible by its digit sum 18.