The number 34225

No. 34225 = 5^2 × 37^2, so it is divisible by 5.

34225 is a perfect square (185²). Its prime factorisation is $5^{2}$ × $37^{2}$ . Divisors (9): 1, 5, 25, 37, 185, 925, 1369, 6845, 34225.

Number

Pick any whole number from 1 to 100,000.

34225 = 5^{2} \times 37^{2}

How to work it out

1
What is special about 34225: a perfect square (185²).
2
34225 is composite. Its prime factorisation is
$34225 = 5^{2} \times 37^{2}$
3
The divisors add up to 43617; without 34225 itself that is 9392, so 34225 is deficient (9392 is less than 34225). Euler's totient φ(34225) = 26640 numbers up to 34225 share no factor with it.
4
The digits of 34225 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 67 steps to reach 1.

LaTeX source of the formulas on this page

\[ 34225 = 5^{2} \times 37^{2} \]

Form	Value
In words	thirty-four thousand two hundred and twenty-five
Binary (base 2)	1000010110110001
Octal (base 8)	102661
Hexadecimal (base 16)	85B1
Base 3	1201221121
As time	34225 seconds = 9 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 (34225 ÷ 5 = 6845)	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 4)	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 34225 a prime number?

No. 34225 = $5^{2}$ × $37^{2}$ , so it is divisible by 5.

What are the factors of 34225?

1, 5, 25, 37, 185, 925, 1369, 6845, 34225.

What is 34225 in binary?

1000010110110001 (hexadecimal 85B1, octal 102661).

What is the square root of 34225?

185, because 185 × 185 = 34225.

Is 34225 divisible by 3?

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

What is special about the number 34225?

34225 is a perfect square (185²).