The number 97812

Q: Is 97812 a prime number?

No. 97812 = 2^2 × 3^2 × 11 × 13 × 19, so it is divisible by 2.

97812 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 11 × 13 × 19. Divisors (72): 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 19, 22, 26, 33, 36, 38 … 97812.

Number

Pick any whole number from 1 to 100,000.

97812 = 2^{2} \times 3^{2} \times 11 \times 13 \times 19

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How to work it out

1
97812 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
97812 is composite. Its prime factorisation is
$97812 = 2^{2} \times 3^{2} \times 11 \times 13 \times 19$
3
The divisors add up to 305760; without 97812 itself that is 207948, so 97812 is abundant (207948 is more than 97812). Euler's totient φ(97812) = 25920 numbers up to 97812 share no factor with it.
4
The digits of 97812 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page

\[ 97812 = 2^{2} \times 3^{2} \times 11 \times 13 \times 19 \]

97812 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	305760
Euler totient φ(n)	25920
Square	9567187344
Cube	935785728491328
Square root	312.749101 (= 6√2717)
Digit sum / digital root	27 / 9
Collatz steps to 1	159
Scientific notation	9.7812 × $10^{4}$

97812 in other forms

Form	Value
In words	ninety-seven thousand eight hundred and twelve
Binary (base 2)	10111111000010100
Octal (base 8)	277024
Hexadecimal (base 16)	17E14
Base 3	11222011200
As time	97812 seconds = 27 h 10 min 12 s

Is 97812 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (97812 ÷ 2 = 48906)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (97812 ÷ 3 = 32604)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (97812 ÷ 4 = 24453)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 2)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (97812 ÷ 6 = 16302)	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	Yes (97812 ÷ 9 = 10868)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 2)	A number is divisible by 10 if the last digit is 0.
11	Yes (97812 ÷ 11 = 8892)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (97812 ÷ 12 = 8151)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97812 a prime number?

No. 97812 = $2^{2}$ × $3^{2}$ × 11 × 13 × 19, so it is divisible by 2.

What are the factors of 97812?

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 19, 22, 26, 33, 36, 38, 39, 44, 52, 57, 66, 76, 78, 99, 114, 117, 132, 143, 156, 171, 198, 209, 228, 234, 247, 286, 342, 396, 418, 429, 468, 494, 572, 627, 684, 741, 836, 858, 988, 1254, 1287, 1482, 1716, 1881, 2223, 2508, 2574, 2717, 2964, 3762, 4446, 5148, 5434, 7524, 8151, 8892, 10868, 16302, 24453, 32604, 48906, 97812.

What is 97812 in binary?

10111111000010100 (hexadecimal 17E14, octal 277024).

What is the square root of 97812?

About 312.7491, exactly 6√2717.

Is 97812 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 97812?

It is a composite number with 72 divisors.