The number 84500

Q: Is 84500 a prime number?

No. 84500 = 2^2 × 5^3 × 13^2, so it is divisible by 2.

84500 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $5^{3}$ × $13^{2}$ . Divisors (36): 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 169 … 84500.

Number

Pick any whole number from 1 to 100,000.

84500 = 2^{2} \times 5^{3} \times 13^{2}

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How to work it out

1
84500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
84500 is composite. Its prime factorisation is
$84500 = 2^{2} \times 5^{3} \times 13^{2}$
3
The divisors add up to 199836; without 84500 itself that is 115336, so 84500 is abundant (115336 is more than 84500). Euler's totient φ(84500) = 31200 numbers up to 84500 share no factor with it.
4
The digits of 84500 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page

\[ 84500 = 2^{2} \times 5^{3} \times 13^{2} \]

84500 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	199836
Euler totient φ(n)	31200
Square	7140250000
Cube	603351125000000
Square root	290.688837 (= 130√5)
Digit sum / digital root	17 / 8
Collatz steps to 1	58
Scientific notation	8.45 × $10^{4}$

84500 in other forms

Form	Value
In words	eighty-four thousand five hundred
Binary (base 2)	10100101000010100
Octal (base 8)	245024
Hexadecimal (base 16)	14A14
Base 3	11021220122
As time	84500 seconds = 23 h 28 min 20 s

Is 84500 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (84500 ÷ 2 = 42250)	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 (84500 ÷ 4 = 21125)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (84500 ÷ 5 = 16900)	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	No (remainder 3)	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 8)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (84500 ÷ 10 = 8450)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 9)	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 84500 a prime number?

No. 84500 = $2^{2}$ × $5^{3}$ × $13^{2}$ , so it is divisible by 2.

What are the factors of 84500?

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 169, 250, 260, 325, 338, 500, 650, 676, 845, 1300, 1625, 1690, 3250, 3380, 4225, 6500, 8450, 16900, 21125, 42250, 84500.

What is 84500 in binary?

10100101000010100 (hexadecimal 14A14, octal 245024).

What is the square root of 84500?

About 290.6888, exactly 130√5.

Is 84500 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 84500?

It is a composite number with 36 divisors.