The number 98640

Q: Is 98640 a prime number?

No. 98640 = 2^4 × 3^2 × 5 × 137, so it is divisible by 2.

98640 is a composite number with 60 divisors. Its prime factorisation is $2^{4}$ × $3^{2}$ × 5 × 137. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 98640.

Number

Pick any whole number from 1 to 100,000.

98640 = 2^{4} \times 3^{2} \times 5 \times 137

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How to work it out

1
98640 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
98640 is composite. Its prime factorisation is
$98640 = 2^{4} \times 3^{2} \times 5 \times 137$
3
The divisors add up to 333684; without 98640 itself that is 235044, so 98640 is abundant (235044 is more than 98640). Euler's totient φ(98640) = 26112 numbers up to 98640 share no factor with it.
4
The digits of 98640 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 40 steps to reach 1.

LaTeX source of the formulas on this page

\[ 98640 = 2^{4} \times 3^{2} \times 5 \times 137 \]

98640 at a glance

Property	Value
Type	composite
Number of divisors	60
Sum of divisors	333684
Euler totient φ(n)	26112
Square	9729849600
Cube	959752364544000
Square root	314.070056 (= 12√685)
Digit sum / digital root	27 / 9
Collatz steps to 1	40
Scientific notation	9.864 × $10^{4}$

98640 in other forms

Form	Value
In words	ninety-eight thousand six hundred and forty
Binary (base 2)	11000000101010000
Octal (base 8)	300520
Hexadecimal (base 16)	18150
Base 3	12000022100
As time	98640 seconds = 27 h 24 min 0 s

Is 98640 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (98640 ÷ 2 = 49320)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (98640 ÷ 3 = 32880)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (98640 ÷ 4 = 24660)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (98640 ÷ 5 = 19728)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (98640 ÷ 6 = 16440)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 3)	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 (98640 ÷ 8 = 12330)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (98640 ÷ 9 = 10960)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (98640 ÷ 10 = 9864)	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 (98640 ÷ 12 = 8220)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98640 a prime number?

No. 98640 = $2^{4}$ × $3^{2}$ × 5 × 137, so it is divisible by 2.

What are the factors of 98640?

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 137, 144, 180, 240, 274, 360, 411, 548, 685, 720, 822, 1096, 1233, 1370, 1644, 2055, 2192, 2466, 2740, 3288, 4110, 4932, 5480, 6165, 6576, 8220, 9864, 10960, 12330, 16440, 19728, 24660, 32880, 49320, 98640.

What is 98640 in binary?

11000000101010000 (hexadecimal 18150, octal 300520).

What is the square root of 98640?

About 314.0701, exactly 12√685.

Is 98640 divisible by 3?

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

What is special about the number 98640?

It is a composite number with 60 divisors.