The number 96840

Q: Is 96840 a prime number?

No. 96840 = 2^3 × 3^2 × 5 × 269, so it is divisible by 2.

96840 is a composite number with 48 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × 5 × 269. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 96840.

Number

Pick any whole number from 1 to 100,000.

96840 = 2^{3} \times 3^{2} \times 5 \times 269

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How to work it out

1
96840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
96840 is composite. Its prime factorisation is
$96840 = 2^{3} \times 3^{2} \times 5 \times 269$
3
The divisors add up to 315900; without 96840 itself that is 219060, so 96840 is abundant (219060 is more than 96840). Euler's totient φ(96840) = 25728 numbers up to 96840 share no factor with it.
4
The digits of 96840 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 190 steps to reach 1.

LaTeX source of the formulas on this page

\[ 96840 = 2^{3} \times 3^{2} \times 5 \times 269 \]

96840 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	315900
Euler totient φ(n)	25728
Square	9377985600
Cube	908164125504000
Square root	311.191260 (= 6√2690)
Digit sum / digital root	27 / 9
Collatz steps to 1	190
Scientific notation	9.684 × $10^{4}$

96840 in other forms

Form	Value
In words	ninety-six thousand eight hundred and forty
Binary (base 2)	10111101001001000
Octal (base 8)	275110
Hexadecimal (base 16)	17A48
Base 3	11220211200
As time	96840 seconds = 26 h 54 min 0 s

Is 96840 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (96840 ÷ 2 = 48420)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (96840 ÷ 3 = 32280)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (96840 ÷ 4 = 24210)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (96840 ÷ 5 = 19368)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (96840 ÷ 6 = 16140)	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	Yes (96840 ÷ 8 = 12105)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (96840 ÷ 9 = 10760)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (96840 ÷ 10 = 9684)	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 (96840 ÷ 12 = 8070)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96840 a prime number?

No. 96840 = $2^{3}$ × $3^{2}$ × 5 × 269, so it is divisible by 2.

What are the factors of 96840?

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 269, 360, 538, 807, 1076, 1345, 1614, 2152, 2421, 2690, 3228, 4035, 4842, 5380, 6456, 8070, 9684, 10760, 12105, 16140, 19368, 24210, 32280, 48420, 96840.

What is 96840 in binary?

10111101001001000 (hexadecimal 17A48, octal 275110).

What is the square root of 96840?

About 311.1913, exactly 6√2690.

Is 96840 divisible by 3?

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

What is special about the number 96840?

It is a composite number with 48 divisors.