The number 41209

No. 41209 = 7^2 × 29^2, so it is divisible by 7.

41209 is a perfect square (203²). Its prime factorisation is $7^{2}$ × $29^{2}$ . Divisors (9): 1, 7, 29, 49, 203, 841, 1421, 5887, 41209.

Number

Pick any whole number from 1 to 100,000.

41209 = 7^{2} \times 29^{2}

How to work it out

1
What is special about 41209: a perfect square (203²).
2
41209 is composite. Its prime factorisation is
$41209 = 7^{2} \times 29^{2}$
3
The divisors add up to 49647; without 41209 itself that is 8438, so 41209 is deficient (8438 is less than 41209). Euler's totient φ(41209) = 34104 numbers up to 41209 share no factor with it.
4
The digits of 41209 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 93 steps to reach 1.

LaTeX source of the formulas on this page

\[ 41209 = 7^{2} \times 29^{2} \]

Form	Value
In words	forty-one thousand two hundred and nine
Binary (base 2)	1010000011111001
Octal (base 8)	120371
Hexadecimal (base 16)	A0F9
Base 3	2002112021
As time	41209 seconds = 11 h 26 min 49 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	No (remainder 4)	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	Yes (41209 ÷ 7 = 5887)	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 9)	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 41209 a prime number?

No. 41209 = $7^{2}$ × $29^{2}$ , so it is divisible by 7.

What are the factors of 41209?

1, 7, 29, 49, 203, 841, 1421, 5887, 41209.

What is 41209 in binary?

1010000011111001 (hexadecimal A0F9, octal 120371).

What is the square root of 41209?

203, because 203 × 203 = 41209.

Is 41209 divisible by 3?

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

What is special about the number 41209?

41209 is a perfect square (203²).