The number 98040

Q: Is 98040 a prime number?

No. 98040 = 2^3 × 3 × 5 × 19 × 43, so it is divisible by 2.

98040 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 19 × 43. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40 … 98040.

Number

Pick any whole number from 1 to 100,000.

98040 = 2^{3} \times 3 \times 5 \times 19 \times 43

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How to work it out

1
98040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
98040 is composite. Its prime factorisation is
$98040 = 2^{3} \times 3 \times 5 \times 19 \times 43$
3
The divisors add up to 316800; without 98040 itself that is 218760, so 98040 is abundant (218760 is more than 98040). Euler's totient φ(98040) = 24192 numbers up to 98040 share no factor with it.
4
The digits of 98040 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.

LaTeX source of the formulas on this page

\[ 98040 = 2^{3} \times 3 \times 5 \times 19 \times 43 \]

98040 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	316800
Euler totient φ(n)	24192
Square	9611841600
Cube	942344950464000
Square root	313.113398 (= 2√24510)
Digit sum / digital root	21 / 3
Collatz steps to 1	66
Scientific notation	9.804 × $10^{4}$

98040 in other forms

Form	Value
In words	ninety-eight thousand and forty
Binary (base 2)	10111111011111000
Octal (base 8)	277370
Hexadecimal (base 16)	17EF8
Base 3	11222111010
As time	98040 seconds = 27 h 14 min 0 s

Is 98040 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (98040 ÷ 2 = 49020)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (98040 ÷ 3 = 32680)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (98040 ÷ 4 = 24510)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (98040 ÷ 5 = 19608)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (98040 ÷ 6 = 16340)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 5)	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 (98040 ÷ 8 = 12255)	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 (98040 ÷ 10 = 9804)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 8)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (98040 ÷ 12 = 8170)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98040 a prime number?

No. 98040 = $2^{3}$ × 3 × 5 × 19 × 43, so it is divisible by 2.

What are the factors of 98040?

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 43, 57, 60, 76, 86, 95, 114, 120, 129, 152, 172, 190, 215, 228, 258, 285, 344, 380, 430, 456, 516, 570, 645, 760, 817, 860, 1032, 1140, 1290, 1634, 1720, 2280, 2451, 2580, 3268, 4085, 4902, 5160, 6536, 8170, 9804, 12255, 16340, 19608, 24510, 32680, 49020, 98040.

What is 98040 in binary?

10111111011111000 (hexadecimal 17EF8, octal 277370).

What is the square root of 98040?

About 313.1134, exactly 2√24510.

Is 98040 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 98040?

It is a composite number with 64 divisors.