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The number 80000

80000 is a composite number with 40 divisors. Its prime factorisation is 272^{7} × 545^{4}. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125 … 80000.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 80000: a Harshad number: divisible by its digit sum 8.

  2. 2

    80000 is composite. Its prime factorisation is

    80000=27×5480000 = 2^{7} \times 5^{4}
  3. 3

    The divisors add up to 199155; without 80000 itself that is 119155, so 80000 is abundant (119155 is more than 80000). Euler's totient φ(80000) = 32000 numbers up to 80000 share no factor with it.

  4. 4

    The digits of 80000 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80000 = 2^{7} \times 5^{4} \]

80000 at a glance

PropertyValue
Typecomposite
Number of divisors40
Sum of divisors199155
Euler totient φ(n)32000
Square6400000000
Cube512000000000000
Square root282.842712 (= 200√2)
Digit sum / digital root8 / 8
Collatz steps to 132
Scientific notation8 × 10410^{4}

80000 in other forms

FormValue
In wordseighty thousand
Binary (base 2)10011100010000000
Octal (base 8)234200
Hexadecimal (base 16)13880
Base 311001201222
As time80000 seconds = 22 h 13 min 20 s

Is 80000 divisible by 2 to 12?

DivisorAnswerRule
2Yes (80000 ÷ 2 = 40000)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (80000 ÷ 4 = 20000)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (80000 ÷ 5 = 16000)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (80000 ÷ 8 = 10000)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (80000 ÷ 10 = 8000)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80000 a prime number?

No. 80000 = 272^{7} × 545^{4}, so it is divisible by 2.

What are the factors of 80000?

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 625, 640, 800, 1000, 1250, 1600, 2000, 2500, 3200, 4000, 5000, 8000, 10000, 16000, 20000, 40000, 80000.

What is 80000 in binary?

10011100010000000 (hexadecimal 13880, octal 234200).

What is the square root of 80000?

About 282.8427, exactly 200√2.

Is 80000 divisible by 3?

No. Its digits add up to 8, which is not a multiple of 3.

What is special about the number 80000?

80000 is a Harshad number: divisible by its digit sum 8.

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