The number 98020

Q: Is 98020 a prime number?

No. 98020 = 2^2 × 5 × 13^2 × 29, so it is divisible by 2.

98020 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 5 × $13^{2}$ × 29. Divisors (36): 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 169 … 98020.

Number

Pick any whole number from 1 to 100,000.

98020 = 2^{2} \times 5 \times 13^{2} \times 29

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How to work it out

1
98020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
98020 is composite. Its prime factorisation is
$98020 = 2^{2} \times 5 \times 13^{2} \times 29$
3
The divisors add up to 230580; without 98020 itself that is 132560, so 98020 is abundant (132560 is more than 98020). Euler's totient φ(98020) = 34944 numbers up to 98020 share no factor with it.
4
The digits of 98020 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.

LaTeX source of the formulas on this page

\[ 98020 = 2^{2} \times 5 \times 13^{2} \times 29 \]

98020 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	230580
Euler totient φ(n)	34944
Square	9607920400
Cube	941768357608000
Square root	313.081459 (= 26√145)
Digit sum / digital root	19 / 1
Collatz steps to 1	66
Scientific notation	9.802 × $10^{4}$

98020 in other forms

Form	Value
In words	ninety-eight thousand and twenty
Binary (base 2)	10111111011100100
Octal (base 8)	277344
Hexadecimal (base 16)	17EE4
Base 3	11222110101
As time	98020 seconds = 27 h 13 min 40 s

Is 98020 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (98020 ÷ 2 = 49010)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (98020 ÷ 4 = 24505)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (98020 ÷ 5 = 19604)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 1)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (98020 ÷ 10 = 9802)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98020 a prime number?

No. 98020 = $2^{2}$ × 5 × $13^{2}$ × 29, so it is divisible by 2.

What are the factors of 98020?

1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 169, 260, 290, 338, 377, 580, 676, 754, 845, 1508, 1690, 1885, 3380, 3770, 4901, 7540, 9802, 19604, 24505, 49010, 98020.

What is 98020 in binary?

10111111011100100 (hexadecimal 17EE4, octal 277344).

What is the square root of 98020?

About 313.0815, exactly 26√145.

Is 98020 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 98020?

It is a composite number with 36 divisors.