The number 7396

No. 7396 = 2^2 × 43^2, so it is divisible by 2.

7396 is a perfect square (86²). Its prime factorisation is $2^{2}$ × $43^{2}$ . Divisors (9): 1, 2, 4, 43, 86, 172, 1849, 3698, 7396.

Number

Pick any whole number from 1 to 100,000.

7396 = 2^{2} \times 43^{2}

How to work it out

1
What is special about 7396: a perfect square (86²).
2
7396 is composite. Its prime factorisation is
$7396 = 2^{2} \times 43^{2}$
3
The divisors add up to 13251; without 7396 itself that is 5855, so 7396 is deficient (5855 is less than 7396). Euler's totient φ(7396) = 3612 numbers up to 7396 share no factor with it.
4
The digits of 7396 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.

LaTeX source of the formulas on this page

\[ 7396 = 2^{2} \times 43^{2} \]

Form	Value
In words	seven thousand three hundred and ninety-six
Binary (base 2)	1110011100100
Octal (base 8)	16344
Hexadecimal (base 16)	1CE4
Base 3	101010221
As time	7396 seconds = 2 h 3 min 16 s

Divisor	Answer	Rule
2	Yes (7396 ÷ 2 = 3698)	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 (7396 ÷ 4 = 1849)	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 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 4)	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 6)	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 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Is 7396 a prime number?

No. 7396 = $2^{2}$ × $43^{2}$ , so it is divisible by 2.

What are the factors of 7396?

1, 2, 4, 43, 86, 172, 1849, 3698, 7396.

What is 7396 in binary?

1110011100100 (hexadecimal 1CE4, octal 16344).

What is the square root of 7396?

86, because 86 × 86 = 7396.

Is 7396 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 7396?

7396 is a perfect square (86²).