The number 98420

Q: Is 98420 a prime number?

No. 98420 = 2^2 × 5 × 7 × 19 × 37, so it is divisible by 2.

98420 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 5 × 7 × 19 × 37. Divisors (48): 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 37, 38, 70, 74, 76 … 98420.

Number

Pick any whole number from 1 to 100,000.

98420 = 2^{2} \times 5 \times 7 \times 19 \times 37

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How to work it out

1
98420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
98420 is composite. Its prime factorisation is
$98420 = 2^{2} \times 5 \times 7 \times 19 \times 37$
3
The divisors add up to 255360; without 98420 itself that is 156940, so 98420 is abundant (156940 is more than 98420). Euler's totient φ(98420) = 31104 numbers up to 98420 share no factor with it.
4
The digits of 98420 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.

LaTeX source of the formulas on this page

\[ 98420 = 2^{2} \times 5 \times 7 \times 19 \times 37 \]

98420 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	255360
Euler totient φ(n)	31104
Square	9686496400
Cube	953344975688000
Square root	313.719620 (= 2√24605)
Digit sum / digital root	23 / 5
Collatz steps to 1	115
Scientific notation	9.842 × $10^{4}$

98420 in other forms

Form	Value
In words	ninety-eight thousand four hundred and twenty
Binary (base 2)	11000000001110100
Octal (base 8)	300164
Hexadecimal (base 16)	18074
Base 3	12000000012
As time	98420 seconds = 27 h 20 min 20 s

Is 98420 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (98420 ÷ 2 = 49210)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (98420 ÷ 4 = 24605)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (98420 ÷ 5 = 19684)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (98420 ÷ 7 = 14060)	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 5)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (98420 ÷ 10 = 9842)	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	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98420 a prime number?

No. 98420 = $2^{2}$ × 5 × 7 × 19 × 37, so it is divisible by 2.

What are the factors of 98420?

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 37, 38, 70, 74, 76, 95, 133, 140, 148, 185, 190, 259, 266, 370, 380, 518, 532, 665, 703, 740, 1036, 1295, 1330, 1406, 2590, 2660, 2812, 3515, 4921, 5180, 7030, 9842, 14060, 19684, 24605, 49210, 98420.

What is 98420 in binary?

11000000001110100 (hexadecimal 18074, octal 300164).

What is the square root of 98420?

About 313.7196, exactly 2√24605.

Is 98420 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 98420?

It is a composite number with 48 divisors.