The number 75076

No. 75076 = 2^2 × 137^2, so it is divisible by 2.

75076 is a perfect square (274²). Its prime factorisation is $2^{2}$ × $137^{2}$ . Divisors (9): 1, 2, 4, 137, 274, 548, 18769, 37538, 75076.

Number

Pick any whole number from 1 to 100,000.

75076 = 2^{2} \times 137^{2}

How to work it out

1
What is special about 75076: a perfect square (274²).
2
75076 is composite. Its prime factorisation is
$75076 = 2^{2} \times 137^{2}$
3
The divisors add up to 132349; without 75076 itself that is 57273, so 75076 is deficient (57273 is less than 75076). Euler's totient φ(75076) = 37264 numbers up to 75076 share no factor with it.
4
The digits of 75076 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 86 steps to reach 1.

LaTeX source of the formulas on this page

\[ 75076 = 2^{2} \times 137^{2} \]

Form	Value
In words	seventy-five thousand and seventy-six
Binary (base 2)	10010010101000100
Octal (base 8)	222504
Hexadecimal (base 16)	12544
Base 3	10210222121
As time	75076 seconds = 20 h 51 min 16 s

Divisor	Answer	Rule
2	Yes (75076 ÷ 2 = 37538)	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 (75076 ÷ 4 = 18769)	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 1)	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 1)	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 75076 a prime number?

No. 75076 = $2^{2}$ × $137^{2}$ , so it is divisible by 2.

What are the factors of 75076?

1, 2, 4, 137, 274, 548, 18769, 37538, 75076.

What is 75076 in binary?

10010010101000100 (hexadecimal 12544, octal 222504).

What is the square root of 75076?

274, because 274 × 274 = 75076.

Is 75076 divisible by 3?

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

What is special about the number 75076?

75076 is a perfect square (274²).