The number 96180

Q: Is 96180 a prime number?

No. 96180 = 2^2 × 3 × 5 × 7 × 229, so it is divisible by 2.

96180 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × 229. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 96180.

Number

Pick any whole number from 1 to 100,000.

96180 = 2^{2} \times 3 \times 5 \times 7 \times 229

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How to work it out

1
96180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
96180 is composite. Its prime factorisation is
$96180 = 2^{2} \times 3 \times 5 \times 7 \times 229$
3
The divisors add up to 309120; without 96180 itself that is 212940, so 96180 is abundant (212940 is more than 96180). Euler's totient φ(96180) = 21888 numbers up to 96180 share no factor with it.
4
The digits of 96180 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page

\[ 96180 = 2^{2} \times 3 \times 5 \times 7 \times 229 \]

96180 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	309120
Euler totient φ(n)	21888
Square	9250592400
Cube	889721977032000
Square root	310.129005 (= 2√24045)
Digit sum / digital root	24 / 6
Collatz steps to 1	45
Scientific notation	9.618 × $10^{4}$

96180 in other forms

Form	Value
In words	ninety-six thousand one hundred and eighty
Binary (base 2)	10111011110110100
Octal (base 8)	273664
Hexadecimal (base 16)	177B4
Base 3	11212221020
As time	96180 seconds = 26 h 43 min 0 s

Is 96180 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (96180 ÷ 2 = 48090)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (96180 ÷ 3 = 32060)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (96180 ÷ 4 = 24045)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (96180 ÷ 5 = 19236)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (96180 ÷ 6 = 16030)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (96180 ÷ 7 = 13740)	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	Yes (96180 ÷ 10 = 9618)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (96180 ÷ 12 = 8015)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96180 a prime number?

No. 96180 = $2^{2}$ × 3 × 5 × 7 × 229, so it is divisible by 2.

What are the factors of 96180?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 229, 420, 458, 687, 916, 1145, 1374, 1603, 2290, 2748, 3206, 3435, 4580, 4809, 6412, 6870, 8015, 9618, 13740, 16030, 19236, 24045, 32060, 48090, 96180.

What is 96180 in binary?

10111011110110100 (hexadecimal 177B4, octal 273664).

What is the square root of 96180?

About 310.1290, exactly 2√24045.

Is 96180 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 96180?

It is a composite number with 48 divisors.