The number 13225

No. 13225 = 5^2 × 23^2, so it is divisible by 5.

13225 is a perfect square (115²). Its prime factorisation is $5^{2}$ × $23^{2}$ . Divisors (9): 1, 5, 23, 25, 115, 529, 575, 2645, 13225.

Number

Pick any whole number from 1 to 100,000.

13225 = 5^{2} \times 23^{2}

How to work it out

1
What is special about 13225: a perfect square (115²).
2
13225 is composite. Its prime factorisation is
$13225 = 5^{2} \times 23^{2}$
3
The divisors add up to 17143; without 13225 itself that is 3918, so 13225 is deficient (3918 is less than 13225). Euler's totient φ(13225) = 10120 numbers up to 13225 share no factor with it.
4
The digits of 13225 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 151 steps to reach 1.

LaTeX source of the formulas on this page

\[ 13225 = 5^{2} \times 23^{2} \]

Form	Value
In words	thirteen thousand two hundred and twenty-five
Binary (base 2)	11001110101001
Octal (base 8)	31651
Hexadecimal (base 16)	33A9
Base 3	200010211
As time	13225 seconds = 3 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 (13225 ÷ 5 = 2645)	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 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 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 3)	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 13225 a prime number?

No. 13225 = $5^{2}$ × $23^{2}$ , so it is divisible by 5.

What are the factors of 13225?

1, 5, 23, 25, 115, 529, 575, 2645, 13225.

What is 13225 in binary?

11001110101001 (hexadecimal 33A9, octal 31651).

What is the square root of 13225?

115, because 115 × 115 = 13225.

Is 13225 divisible by 3?

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

What is special about the number 13225?

13225 is a perfect square (115²).