The number 42436

No. 42436 = 2^2 × 103^2, so it is divisible by 2.

42436 is a perfect square (206²). Its prime factorisation is $2^{2}$ × $103^{2}$ . Divisors (9): 1, 2, 4, 103, 206, 412, 10609, 21218, 42436.

Number

Pick any whole number from 1 to 100,000.

42436 = 2^{2} \times 103^{2}

How to work it out

1
What is special about 42436: a perfect square (206²).
2
42436 is composite. Its prime factorisation is
$42436 = 2^{2} \times 103^{2}$
3
The divisors add up to 74991; without 42436 itself that is 32555, so 42436 is deficient (32555 is less than 42436). Euler's totient φ(42436) = 21012 numbers up to 42436 share no factor with it.
4
The digits of 42436 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 31 steps to reach 1.

LaTeX source of the formulas on this page

\[ 42436 = 2^{2} \times 103^{2} \]

Form	Value
In words	forty-two thousand four hundred and thirty-six
Binary (base 2)	1010010111000100
Octal (base 8)	122704
Hexadecimal (base 16)	A5C4
Base 3	2011012201
As time	42436 seconds = 11 h 47 min 16 s

Divisor	Answer	Rule
2	Yes (42436 ÷ 2 = 21218)	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	Yes (42436 ÷ 4 = 10609)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	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 4)	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 6)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 9)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Is 42436 a prime number?

No. 42436 = $2^{2}$ × $103^{2}$ , so it is divisible by 2.

What are the factors of 42436?

1, 2, 4, 103, 206, 412, 10609, 21218, 42436.

What is 42436 in binary?

1010010111000100 (hexadecimal A5C4, octal 122704).

What is the square root of 42436?

206, because 206 × 206 = 42436.

Is 42436 divisible by 3?

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

What is special about the number 42436?

42436 is a perfect square (206²).