The number 55225

No. 55225 = 5^2 × 47^2, so it is divisible by 5.

55225 is a perfect square (235²). Its prime factorisation is $5^{2}$ × $47^{2}$ . Divisors (9): 1, 5, 25, 47, 235, 1175, 2209, 11045, 55225.

Number

Pick any whole number from 1 to 100,000.

55225 = 5^{2} \times 47^{2}

How to work it out

1
What is special about 55225: a perfect square (235²).
2
55225 is composite. Its prime factorisation is
$55225 = 5^{2} \times 47^{2}$
3
The divisors add up to 69967; without 55225 itself that is 14742, so 55225 is deficient (14742 is less than 55225). Euler's totient φ(55225) = 43240 numbers up to 55225 share no factor with it.
4
The digits of 55225 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 153 steps to reach 1.

LaTeX source of the formulas on this page

\[ 55225 = 5^{2} \times 47^{2} \]

Form	Value
In words	fifty-five thousand two hundred and twenty-five
Binary (base 2)	1101011110111001
Octal (base 8)	153671
Hexadecimal (base 16)	D7B9
Base 3	2210202101
As time	55225 seconds = 15 h 20 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 (55225 ÷ 5 = 11045)	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 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 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 55225 a prime number?

No. 55225 = $5^{2}$ × $47^{2}$ , so it is divisible by 5.

What are the factors of 55225?

1, 5, 25, 47, 235, 1175, 2209, 11045, 55225.

What is 55225 in binary?

1101011110111001 (hexadecimal D7B9, octal 153671).

What is the square root of 55225?

235, because 235 × 235 = 55225.

Is 55225 divisible by 3?

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

What is special about the number 55225?

55225 is a perfect square (235²).