The number 24024

Q: Is 24024 a prime number?

No. 24024 = 2^3 × 3 × 7 × 11 × 13, so it is divisible by 2.

24024 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 7 × 11 × 13. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 21, 22, 24, 26, 28 … 24024.

Number

Pick any whole number from 1 to 100,000.

24024 = 2^{3} \times 3 \times 7 \times 11 \times 13

Explain it step by step in chat Make a short video of it

How to work it out

1
What is special about 24024: a Harshad number: divisible by its digit sum 12.
2
24024 is composite. Its prime factorisation is
$24024 = 2^{3} \times 3 \times 7 \times 11 \times 13$
3
The divisors add up to 80640; without 24024 itself that is 56616, so 24024 is abundant (56616 is more than 24024). Euler's totient φ(24024) = 5760 numbers up to 24024 share no factor with it.
4
The digits of 24024 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.

LaTeX source of the formulas on this page

\[ 24024 = 2^{3} \times 3 \times 7 \times 11 \times 13 \]

24024 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	80640
Euler totient φ(n)	5760
Square	577152576
Cube	13865513485824
Square root	154.996774 (= 2√6006)
Digit sum / digital root	12 / 3
Collatz steps to 1	43
Scientific notation	2.4024 × $10^{4}$

24024 in other forms

Form	Value
In words	twenty-four thousand and twenty-four
Binary (base 2)	101110111011000
Octal (base 8)	56730
Hexadecimal (base 16)	5DD8
Base 3	1012221210
As time	24024 seconds = 6 h 40 min 24 s

Is 24024 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (24024 ÷ 2 = 12012)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (24024 ÷ 3 = 8008)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (24024 ÷ 4 = 6006)	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 (24024 ÷ 6 = 4004)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (24024 ÷ 7 = 3432)	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 (24024 ÷ 8 = 3003)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 3)	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 (24024 ÷ 11 = 2184)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (24024 ÷ 12 = 2002)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24024 a prime number?

No. 24024 = $2^{3}$ × 3 × 7 × 11 × 13, so it is divisible by 2.

What are the factors of 24024?

1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 21, 22, 24, 26, 28, 33, 39, 42, 44, 52, 56, 66, 77, 78, 84, 88, 91, 104, 132, 143, 154, 156, 168, 182, 231, 264, 273, 286, 308, 312, 364, 429, 462, 546, 572, 616, 728, 858, 924, 1001, 1092, 1144, 1716, 1848, 2002, 2184, 3003, 3432, 4004, 6006, 8008, 12012, 24024.

What is 24024 in binary?

101110111011000 (hexadecimal 5DD8, octal 56730).

What is the square root of 24024?

About 154.9968, exactly 2√6006.

Is 24024 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 24024?

24024 is a Harshad number: divisible by its digit sum 12.