The number 24108

Q: Is 24108 a prime number?

No. 24108 = 2^2 × 3 × 7^2 × 41, so it is divisible by 2.

24108 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × $7^{2}$ × 41. Divisors (36): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 49, 82, 84, 98 … 24108.

Number

Pick any whole number from 1 to 100,000.

24108 = 2^{2} \times 3 \times 7^{2} \times 41

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How to work it out

1
24108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
24108 is composite. Its prime factorisation is
$24108 = 2^{2} \times 3 \times 7^{2} \times 41$
3
The divisors add up to 67032; without 24108 itself that is 42924, so 24108 is abundant (42924 is more than 24108). Euler's totient φ(24108) = 6720 numbers up to 24108 share no factor with it.
4
The digits of 24108 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.

LaTeX source of the formulas on this page

\[ 24108 = 2^{2} \times 3 \times 7^{2} \times 41 \]

24108 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	67032
Euler totient φ(n)	6720
Square	581195664
Cube	14011465067712
Square root	155.267511 (= 14√123)
Digit sum / digital root	15 / 6
Collatz steps to 1	188
Scientific notation	2.4108 × $10^{4}$

24108 in other forms

Form	Value
In words	twenty-four thousand one hundred and eight
Binary (base 2)	101111000101100
Octal (base 8)	57054
Hexadecimal (base 16)	5E2C
Base 3	1020001220
As time	24108 seconds = 6 h 41 min 48 s

Is 24108 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (24108 ÷ 2 = 12054)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (24108 ÷ 3 = 8036)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (24108 ÷ 4 = 6027)	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 (24108 ÷ 6 = 4018)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (24108 ÷ 7 = 3444)	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	No (remainder 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (24108 ÷ 12 = 2009)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24108 a prime number?

No. 24108 = $2^{2}$ × 3 × $7^{2}$ × 41, so it is divisible by 2.

What are the factors of 24108?

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 49, 82, 84, 98, 123, 147, 164, 196, 246, 287, 294, 492, 574, 588, 861, 1148, 1722, 2009, 3444, 4018, 6027, 8036, 12054, 24108.

What is 24108 in binary?

101111000101100 (hexadecimal 5E2C, octal 57054).

What is the square root of 24108?

About 155.2675, exactly 14√123.

Is 24108 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 24108?

It is a composite number with 36 divisors.