The number 24500

Q: Is 24500 a prime number?

No. 24500 = 2^2 × 5^3 × 7^2, so it is divisible by 2.

24500 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $5^{3}$ × $7^{2}$ . Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100 … 24500.

Number

Pick any whole number from 1 to 100,000.

24500 = 2^{2} \times 5^{3} \times 7^{2}

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

How to work it out

1
24500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
24500 is composite. Its prime factorisation is
$24500 = 2^{2} \times 5^{3} \times 7^{2}$
3
The divisors add up to 62244; without 24500 itself that is 37744, so 24500 is abundant (37744 is more than 24500). Euler's totient φ(24500) = 8400 numbers up to 24500 share no factor with it.
4
The digits of 24500 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.

LaTeX source of the formulas on this page

\[ 24500 = 2^{2} \times 5^{3} \times 7^{2} \]

24500 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	62244
Euler totient φ(n)	8400
Square	600250000
Cube	14706125000000
Square root	156.524758 (= 70√5)
Digit sum / digital root	11 / 2
Collatz steps to 1	64
Scientific notation	2.45 × $10^{4}$

24500 in other forms

Form	Value
In words	twenty-four thousand five hundred
Binary (base 2)	101111110110100
Octal (base 8)	57664
Hexadecimal (base 16)	5FB4
Base 3	1020121102
As time	24500 seconds = 6 h 48 min 20 s

Is 24500 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (24500 ÷ 2 = 12250)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (24500 ÷ 4 = 6125)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (24500 ÷ 5 = 4900)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (24500 ÷ 7 = 3500)	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 2)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (24500 ÷ 10 = 2450)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24500 a prime number?

No. 24500 = $2^{2}$ × $5^{3}$ × $7^{2}$ , so it is divisible by 2.

What are the factors of 24500?

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250, 24500.

What is 24500 in binary?

101111110110100 (hexadecimal 5FB4, octal 57664).

What is the square root of 24500?

About 156.5248, exactly 70√5.

Is 24500 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 24500?

It is a composite number with 36 divisors.