The number 88804

No. 88804 = 2^2 × 149^2, so it is divisible by 2.

88804 is a perfect square (298²). Its prime factorisation is $2^{2}$ × $149^{2}$ . Divisors (9): 1, 2, 4, 149, 298, 596, 22201, 44402, 88804.

Number

Pick any whole number from 1 to 100,000.

88804 = 2^{2} \times 149^{2}

How to work it out

1
What is special about 88804: a perfect square (298²); a happy number: repeatedly adding the squares of its digits reaches 1.
2
88804 is composite. Its prime factorisation is
$88804 = 2^{2} \times 149^{2}$
3
The divisors add up to 156457; without 88804 itself that is 67653, so 88804 is deficient (67653 is less than 88804). Euler's totient φ(88804) = 44104 numbers up to 88804 share no factor with it.
4
The digits of 88804 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page

\[ 88804 = 2^{2} \times 149^{2} \]

Form	Value
In words	eighty-eight thousand eight hundred and four
Binary (base 2)	10101101011100100
Octal (base 8)	255344
Hexadecimal (base 16)	15AE4
Base 3	11111211001
As time	88804 seconds = 24 h 40 min 4 s

Divisor	Answer	Rule
2	Yes (88804 ÷ 2 = 44402)	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 (88804 ÷ 4 = 22201)	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 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 4)	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 88804 a prime number?

No. 88804 = $2^{2}$ × $149^{2}$ , so it is divisible by 2.

What are the factors of 88804?

1, 2, 4, 149, 298, 596, 22201, 44402, 88804.

What is 88804 in binary?

10101101011100100 (hexadecimal 15AE4, octal 255344).

What is the square root of 88804?

298, because 298 × 298 = 88804.

Is 88804 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 88804?

88804 is a perfect square (298²); a happy number: repeatedly adding the squares of its digits reaches 1.