The number 98940

Q: Is 98940 a prime number?

No. 98940 = 2^2 × 3 × 5 × 17 × 97, so it is divisible by 2.

98940 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 17 × 97. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68 … 98940.

Number

Pick any whole number from 1 to 100,000.

98940 = 2^{2} \times 3 \times 5 \times 17 \times 97

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How to work it out

1
What is special about 98940: a Harshad number: divisible by its digit sum 30.
2
98940 is composite. Its prime factorisation is
$98940 = 2^{2} \times 3 \times 5 \times 17 \times 97$
3
The divisors add up to 296352; without 98940 itself that is 197412, so 98940 is abundant (197412 is more than 98940). Euler's totient φ(98940) = 24576 numbers up to 98940 share no factor with it.
4
The digits of 98940 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.

LaTeX source of the formulas on this page

\[ 98940 = 2^{2} \times 3 \times 5 \times 17 \times 97 \]

98940 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	296352
Euler totient φ(n)	24576
Square	9789123600
Cube	968535888984000
Square root	314.547294 (= 2√24735)
Digit sum / digital root	30 / 3
Collatz steps to 1	146
Scientific notation	9.894 × $10^{4}$

98940 in other forms

Form	Value
In words	ninety-eight thousand nine hundred and forty
Binary (base 2)	11000001001111100
Octal (base 8)	301174
Hexadecimal (base 16)	1827C
Base 3	12000201110
As time	98940 seconds = 27 h 29 min 0 s

Is 98940 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (98940 ÷ 2 = 49470)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (98940 ÷ 3 = 32980)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (98940 ÷ 4 = 24735)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (98940 ÷ 5 = 19788)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (98940 ÷ 6 = 16490)	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	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (98940 ÷ 10 = 9894)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 6)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (98940 ÷ 12 = 8245)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98940 a prime number?

No. 98940 = $2^{2}$ × 3 × 5 × 17 × 97, so it is divisible by 2.

What are the factors of 98940?

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 97, 102, 170, 194, 204, 255, 291, 340, 388, 485, 510, 582, 970, 1020, 1164, 1455, 1649, 1940, 2910, 3298, 4947, 5820, 6596, 8245, 9894, 16490, 19788, 24735, 32980, 49470, 98940.

What is 98940 in binary?

11000001001111100 (hexadecimal 1827C, octal 301174).

What is the square root of 98940?

About 314.5473, exactly 2√24735.

Is 98940 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 98940?

98940 is a Harshad number: divisible by its digit sum 30.