The number 9025

No. 9025 = 5^2 × 19^2, so it is divisible by 5.

9025 is a perfect square (95²). Its prime factorisation is $5^{2}$ × $19^{2}$ . Divisors (9): 1, 5, 19, 25, 95, 361, 475, 1805, 9025.

Number

Pick any whole number from 1 to 100,000.

9025 = 5^{2} \times 19^{2}

How to work it out

1
What is special about 9025: a perfect square (95²).
2
9025 is composite. Its prime factorisation is
$9025 = 5^{2} \times 19^{2}$
3
The divisors add up to 11811; without 9025 itself that is 2786, so 9025 is deficient (2786 is less than 9025). Euler's totient φ(9025) = 6840 numbers up to 9025 share no factor with it.
4
The digits of 9025 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page

\[ 9025 = 5^{2} \times 19^{2} \]

Form	Value
In words	nine thousand and twenty-five
Binary (base 2)	10001101000001
Octal (base 8)	21501
Hexadecimal (base 16)	2341
Base 3	110101021
As time	9025 seconds = 2 h 30 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 (9025 ÷ 5 = 1805)	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 7)	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 5)	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 9025 a prime number?

No. 9025 = $5^{2}$ × $19^{2}$ , so it is divisible by 5.

What are the factors of 9025?

1, 5, 19, 25, 95, 361, 475, 1805, 9025.

What is 9025 in binary?

10001101000001 (hexadecimal 2341, octal 21501).

What is the square root of 9025?

95, because 95 × 95 = 9025.

Is 9025 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 9025?

9025 is a perfect square (95²).