The number 24180

Q: Is 24180 a prime number?

No. 24180 = 2^2 × 3 × 5 × 13 × 31, so it is divisible by 2.

24180 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 13 × 31. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 31, 39, 52 … 24180.

Number

Pick any whole number from 1 to 100,000.

24180 = 2^{2} \times 3 \times 5 \times 13 \times 31

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How to work it out

1
What is special about 24180: a Harshad number: divisible by its digit sum 15.
2
24180 is composite. Its prime factorisation is
$24180 = 2^{2} \times 3 \times 5 \times 13 \times 31$
3
The divisors add up to 75264; without 24180 itself that is 51084, so 24180 is abundant (51084 is more than 24180). Euler's totient φ(24180) = 5760 numbers up to 24180 share no factor with it.
4
The digits of 24180 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 95 steps to reach 1.

LaTeX source of the formulas on this page

\[ 24180 = 2^{2} \times 3 \times 5 \times 13 \times 31 \]

24180 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	75264
Euler totient φ(n)	5760
Square	584672400
Cube	14137378632000
Square root	155.499196 (= 2√6045)
Digit sum / digital root	15 / 6
Collatz steps to 1	95
Scientific notation	2.418 × $10^{4}$

24180 in other forms

Form	Value
In words	twenty-four thousand one hundred and eighty
Binary (base 2)	101111001110100
Octal (base 8)	57164
Hexadecimal (base 16)	5E74
Base 3	1020011120
As time	24180 seconds = 6 h 43 min 0 s

Is 24180 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (24180 ÷ 2 = 12090)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (24180 ÷ 3 = 8060)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (24180 ÷ 4 = 6045)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (24180 ÷ 5 = 4836)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (24180 ÷ 6 = 4030)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	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	Yes (24180 ÷ 10 = 2418)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (24180 ÷ 12 = 2015)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24180 a prime number?

No. 24180 = $2^{2}$ × 3 × 5 × 13 × 31, so it is divisible by 2.

What are the factors of 24180?

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 31, 39, 52, 60, 62, 65, 78, 93, 124, 130, 155, 156, 186, 195, 260, 310, 372, 390, 403, 465, 620, 780, 806, 930, 1209, 1612, 1860, 2015, 2418, 4030, 4836, 6045, 8060, 12090, 24180.

What is 24180 in binary?

101111001110100 (hexadecimal 5E74, octal 57164).

What is the square root of 24180?

About 155.4992, exactly 2√6045.

Is 24180 divisible by 3?

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

What is special about the number 24180?

24180 is a Harshad number: divisible by its digit sum 15.