The number 24420

Q: Is 24420 a prime number?

No. 24420 = 2^2 × 3 × 5 × 11 × 37, so it is divisible by 2.

24420 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 11 × 37. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 37, 44 … 24420.

Number

Pick any whole number from 1 to 100,000.

24420 = 2^{2} \times 3 \times 5 \times 11 \times 37

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How to work it out

1
What is special about 24420: a Harshad number: divisible by its digit sum 12.
2
24420 is composite. Its prime factorisation is
$24420 = 2^{2} \times 3 \times 5 \times 11 \times 37$
3
The divisors add up to 76608; without 24420 itself that is 52188, so 24420 is abundant (52188 is more than 24420). Euler's totient φ(24420) = 5760 numbers up to 24420 share no factor with it.
4
The digits of 24420 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 113 steps to reach 1.

LaTeX source of the formulas on this page

\[ 24420 = 2^{2} \times 3 \times 5 \times 11 \times 37 \]

24420 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	76608
Euler totient φ(n)	5760
Square	596336400
Cube	14562534888000
Square root	156.268999 (= 2√6105)
Digit sum / digital root	12 / 3
Collatz steps to 1	113
Scientific notation	2.442 × $10^{4}$

24420 in other forms

Form	Value
In words	twenty-four thousand four hundred and twenty
Binary (base 2)	101111101100100
Octal (base 8)	57544
Hexadecimal (base 16)	5F64
Base 3	1020111110
As time	24420 seconds = 6 h 47 min 0 s

Is 24420 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (24420 ÷ 2 = 12210)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (24420 ÷ 3 = 8140)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (24420 ÷ 4 = 6105)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (24420 ÷ 5 = 4884)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (24420 ÷ 6 = 4070)	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	No (remainder 4)	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	Yes (24420 ÷ 10 = 2442)	A number is divisible by 10 if the last digit is 0.
11	Yes (24420 ÷ 11 = 2220)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (24420 ÷ 12 = 2035)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24420 a prime number?

No. 24420 = $2^{2}$ × 3 × 5 × 11 × 37, so it is divisible by 2.

What are the factors of 24420?

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 37, 44, 55, 60, 66, 74, 110, 111, 132, 148, 165, 185, 220, 222, 330, 370, 407, 444, 555, 660, 740, 814, 1110, 1221, 1628, 2035, 2220, 2442, 4070, 4884, 6105, 8140, 12210, 24420.

What is 24420 in binary?

101111101100100 (hexadecimal 5F64, octal 57544).

What is the square root of 24420?

About 156.2690, exactly 2√6105.

Is 24420 divisible by 3?

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

What is special about the number 24420?

24420 is a Harshad number: divisible by its digit sum 12.