The number 85020

Q: Is 85020 a prime number?

No. 85020 = 2^2 × 3 × 5 × 13 × 109, so it is divisible by 2.

85020 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 13 × 109. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60 … 85020.

Number

Pick any whole number from 1 to 100,000.

85020 = 2^{2} \times 3 \times 5 \times 13 \times 109

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How to work it out

1
What is special about 85020: a Harshad number: divisible by its digit sum 15.
2
85020 is composite. Its prime factorisation is
$85020 = 2^{2} \times 3 \times 5 \times 13 \times 109$
3
The divisors add up to 258720; without 85020 itself that is 173700, so 85020 is abundant (173700 is more than 85020). Euler's totient φ(85020) = 20736 numbers up to 85020 share no factor with it.
4
The digits of 85020 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.

LaTeX source of the formulas on this page

\[ 85020 = 2^{2} \times 3 \times 5 \times 13 \times 109 \]

85020 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	258720
Euler totient φ(n)	20736
Square	7228400400
Cube	614558602008000
Square root	291.581892 (= 2√21255)
Digit sum / digital root	15 / 6
Collatz steps to 1	151
Scientific notation	8.502 × $10^{4}$

85020 in other forms

Form	Value
In words	eighty-five thousand and twenty
Binary (base 2)	10100110000011100
Octal (base 8)	246034
Hexadecimal (base 16)	14C1C
Base 3	11022121220
As time	85020 seconds = 23 h 37 min 0 s

Is 85020 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (85020 ÷ 2 = 42510)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (85020 ÷ 3 = 28340)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (85020 ÷ 4 = 21255)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (85020 ÷ 5 = 17004)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (85020 ÷ 6 = 14170)	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	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (85020 ÷ 10 = 8502)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (85020 ÷ 12 = 7085)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 85020 a prime number?

No. 85020 = $2^{2}$ × 3 × 5 × 13 × 109, so it is divisible by 2.

What are the factors of 85020?

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 109, 130, 156, 195, 218, 260, 327, 390, 436, 545, 654, 780, 1090, 1308, 1417, 1635, 2180, 2834, 3270, 4251, 5668, 6540, 7085, 8502, 14170, 17004, 21255, 28340, 42510, 85020.

What is 85020 in binary?

10100110000011100 (hexadecimal 14C1C, octal 246034).

What is the square root of 85020?

About 291.5819, exactly 2√21255.

Is 85020 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 85020?

85020 is a Harshad number: divisible by its digit sum 15.