The number 46225

No. 46225 = 5^2 × 43^2, so it is divisible by 5.

46225 is a perfect square (215²). Its prime factorisation is $5^{2}$ × $43^{2}$ . Divisors (9): 1, 5, 25, 43, 215, 1075, 1849, 9245, 46225.

Number

Pick any whole number from 1 to 100,000.

46225 = 5^{2} \times 43^{2}

How to work it out

1
What is special about 46225: a perfect square (215²).
2
46225 is composite. Its prime factorisation is
$46225 = 5^{2} \times 43^{2}$
3
The divisors add up to 58683; without 46225 itself that is 12458, so 46225 is deficient (12458 is less than 46225). Euler's totient φ(46225) = 36120 numbers up to 46225 share no factor with it.
4
The digits of 46225 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.

LaTeX source of the formulas on this page

\[ 46225 = 5^{2} \times 43^{2} \]

Form	Value
In words	forty-six thousand two hundred and twenty-five
Binary (base 2)	1011010010010001
Octal (base 8)	132221
Hexadecimal (base 16)	B491
Base 3	2100102001
As time	46225 seconds = 12 h 50 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 (46225 ÷ 5 = 9245)	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 4)	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 1)	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 46225 a prime number?

No. 46225 = $5^{2}$ × $43^{2}$ , so it is divisible by 5.

What are the factors of 46225?

1, 5, 25, 43, 215, 1075, 1849, 9245, 46225.

What is 46225 in binary?

1011010010010001 (hexadecimal B491, octal 132221).

What is the square root of 46225?

215, because 215 × 215 = 46225.

Is 46225 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 46225?

46225 is a perfect square (215²).