The number 24025

No. 24025 = 5^2 × 31^2, so it is divisible by 5.

24025 is a perfect square (155²). Its prime factorisation is $5^{2}$ × $31^{2}$ . Divisors (9): 1, 5, 25, 31, 155, 775, 961, 4805, 24025.

Number

Pick any whole number from 1 to 100,000.

24025 = 5^{2} \times 31^{2}

How to work it out

1
What is special about 24025: a perfect square (155²); a happy number: repeatedly adding the squares of its digits reaches 1.
2
24025 is composite. Its prime factorisation is
$24025 = 5^{2} \times 31^{2}$
3
The divisors add up to 30783; without 24025 itself that is 6758, so 24025 is deficient (6758 is less than 24025). Euler's totient φ(24025) = 18600 numbers up to 24025 share no factor with it.
4
The digits of 24025 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.

LaTeX source of the formulas on this page

\[ 24025 = 5^{2} \times 31^{2} \]

Form	Value
In words	twenty-four thousand and twenty-five
Binary (base 2)	101110111011001
Octal (base 8)	56731
Hexadecimal (base 16)	5DD9
Base 3	1012221211
As time	24025 seconds = 6 h 40 min 25 s

Divisor	Answer	Rule
2	No (remainder 1)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 1)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (24025 ÷ 5 = 4805)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 1)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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 1)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 4)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 5)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 1)	A number is divisible by 12 if it is divisible by both 3 and 4.

Is 24025 a prime number?

No. 24025 = $5^{2}$ × $31^{2}$ , so it is divisible by 5.

What are the factors of 24025?

1, 5, 25, 31, 155, 775, 961, 4805, 24025.

What is 24025 in binary?

101110111011001 (hexadecimal 5DD9, octal 56731).

What is the square root of 24025?

155, because 155 × 155 = 24025.

Is 24025 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 24025?

24025 is a perfect square (155²); a happy number: repeatedly adding the squares of its digits reaches 1.