The number 97188

Q: Is 97188 a prime number?

No. 97188 = 2^2 × 3 × 7 × 13 × 89, so it is divisible by 2.

97188 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 7 × 13 × 89. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78 … 97188.

Number

Pick any whole number from 1 to 100,000.

97188 = 2^{2} \times 3 \times 7 \times 13 \times 89

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How to work it out

1
97188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
97188 is composite. Its prime factorisation is
$97188 = 2^{2} \times 3 \times 7 \times 13 \times 89$
3
The divisors add up to 282240; without 97188 itself that is 185052, so 97188 is abundant (185052 is more than 97188). Euler's totient φ(97188) = 25344 numbers up to 97188 share no factor with it.
4
The digits of 97188 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page

\[ 97188 = 2^{2} \times 3 \times 7 \times 13 \times 89 \]

97188 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	282240
Euler totient φ(n)	25344
Square	9445507344
Cube	917989967748672
Square root	311.749900 (= 2√24297)
Digit sum / digital root	33 / 6
Collatz steps to 1	71
Scientific notation	9.7188 × $10^{4}$

97188 in other forms

Form	Value
In words	ninety-seven thousand one hundred and eighty-eight
Binary (base 2)	10111101110100100
Octal (base 8)	275644
Hexadecimal (base 16)	17BA4
Base 3	11221022120
As time	97188 seconds = 26 h 59 min 48 s

Is 97188 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (97188 ÷ 2 = 48594)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (97188 ÷ 3 = 32396)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (97188 ÷ 4 = 24297)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (97188 ÷ 6 = 16198)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (97188 ÷ 7 = 13884)	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 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 8)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (97188 ÷ 12 = 8099)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97188 a prime number?

No. 97188 = $2^{2}$ × 3 × 7 × 13 × 89, so it is divisible by 2.

What are the factors of 97188?

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 89, 91, 156, 178, 182, 267, 273, 356, 364, 534, 546, 623, 1068, 1092, 1157, 1246, 1869, 2314, 2492, 3471, 3738, 4628, 6942, 7476, 8099, 13884, 16198, 24297, 32396, 48594, 97188.

What is 97188 in binary?

10111101110100100 (hexadecimal 17BA4, octal 275644).

What is the square root of 97188?

About 311.7499, exactly 2√24297.

Is 97188 divisible by 3?

Yes. Its digits add up to 33, a multiple of 3.

What is special about the number 97188?

It is a composite number with 48 divisors.