The number 97336

Q: Is 97336 a prime number?

No. 97336 = 2^3 × 23^3, so it is divisible by 2.

Q: What is special about the number 97336?

97336 is a perfect cube (46^3).

97336 is a perfect cube ( $46^{3}$ ). Its prime factorisation is $2^{3}$ × $23^{3}$ . Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232, 12167, 24334, 48668, 97336.

Number

Pick any whole number from 1 to 100,000.

97336 = 2^{3} \times 23^{3}

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How to work it out

1
What is special about 97336: a perfect cube ( $46^{3}$ ).
2
97336 is composite. Its prime factorisation is
$97336 = 2^{3} \times 23^{3}$
3
The divisors add up to 190800; without 97336 itself that is 93464, so 97336 is deficient (93464 is less than 97336). Euler's totient φ(97336) = 46552 numbers up to 97336 share no factor with it.
4
The digits of 97336 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 66 steps to reach 1.

LaTeX source of the formulas on this page

\[ 97336 = 2^{3} \times 23^{3} \]

97336 at a glance

Property	Value
Type	composite
Number of divisors	16
Sum of divisors	190800
Euler totient φ(n)	46552
Square	9474296896
Cube	922190162669056
Square root	311.987179 (= 46√46)
Digit sum / digital root	28 / 1
Collatz steps to 1	66
Scientific notation	9.7336 × $10^{4}$
Perfect power	$46^{3}$

97336 in other forms

Form	Value
In words	ninety-seven thousand three hundred and thirty-six
Binary (base 2)	10111110000111000
Octal (base 8)	276070
Hexadecimal (base 16)	17C38
Base 3	11221112001
As time	97336 seconds = 27 h 2 min 16 s

Is 97336 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (97336 ÷ 2 = 48668)	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 (97336 ÷ 4 = 24334)	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	Yes (97336 ÷ 8 = 12167)	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 8)	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.

Questions

Is 97336 a prime number?

No. 97336 = $2^{3}$ × $23^{3}$ , so it is divisible by 2.

What are the factors of 97336?

1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232, 12167, 24334, 48668, 97336.

What is 97336 in binary?

10111110000111000 (hexadecimal 17C38, octal 276070).

What is the square root of 97336?

About 311.9872, exactly 46√46.

Is 97336 divisible by 3?

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

What is special about the number 97336?

97336 is a perfect cube ( $46^{3}$ ).