The number 80340

Q: Is 80340 a prime number?

No. 80340 = 2^2 × 3 × 5 × 13 × 103, so it is divisible by 2.

80340 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 13 × 103. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60 … 80340.

Number

Pick any whole number from 1 to 100,000.

80340 = 2^{2} \times 3 \times 5 \times 13 \times 103

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How to work it out

1
What is special about 80340: a Harshad number: divisible by its digit sum 15.
2
80340 is composite. Its prime factorisation is
$80340 = 2^{2} \times 3 \times 5 \times 13 \times 103$
3
The divisors add up to 244608; without 80340 itself that is 164268, so 80340 is abundant (164268 is more than 80340). Euler's totient φ(80340) = 19584 numbers up to 80340 share no factor with it.
4
The digits of 80340 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 94 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80340 = 2^{2} \times 3 \times 5 \times 13 \times 103 \]

80340 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	244608
Euler totient φ(n)	19584
Square	6454515600
Cube	518555783304000
Square root	283.443116 (= 2√20085)
Digit sum / digital root	15 / 6
Collatz steps to 1	94
Scientific notation	8.034 × $10^{4}$

80340 in other forms

Form	Value
In words	eighty thousand three hundred and forty
Binary (base 2)	10011100111010100
Octal (base 8)	234724
Hexadecimal (base 16)	139D4
Base 3	11002012120
As time	80340 seconds = 22 h 19 min 0 s

Is 80340 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80340 ÷ 2 = 40170)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (80340 ÷ 3 = 26780)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80340 ÷ 4 = 20085)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (80340 ÷ 5 = 16068)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (80340 ÷ 6 = 13390)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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 (80340 ÷ 10 = 8034)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (80340 ÷ 12 = 6695)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80340 a prime number?

No. 80340 = $2^{2}$ × 3 × 5 × 13 × 103, so it is divisible by 2.

What are the factors of 80340?

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 103, 130, 156, 195, 206, 260, 309, 390, 412, 515, 618, 780, 1030, 1236, 1339, 1545, 2060, 2678, 3090, 4017, 5356, 6180, 6695, 8034, 13390, 16068, 20085, 26780, 40170, 80340.

What is 80340 in binary?

10011100111010100 (hexadecimal 139D4, octal 234724).

What is the square root of 80340?

About 283.4431, exactly 2√20085.

Is 80340 divisible by 3?

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

What is special about the number 80340?

80340 is a Harshad number: divisible by its digit sum 15.