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The number 80081

80081 is a composite number with 4 divisors. Its prime factorisation is 73 × 1097. Divisors (4): 1, 73, 1097, 80081.

Number

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How to work it out

  1. 1

    What is special about 80081: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 1097, the product of two primes.

  2. 2

    80081 is composite. Its prime factorisation is

    80081=73×109780081 = 73 \times 1097
  3. 3

    The divisors add up to 81252; without 80081 itself that is 1171, so 80081 is deficient (1171 is less than 80081). Euler's totient φ(80081) = 78912 numbers up to 80081 share no factor with it.

  4. 4

    The digits of 80081 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 107 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80081 = 73 \times 1097 \]

80081 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors81252
Euler totient φ(n)78912
Square6412966561
Cube513556775171441
Square root282.985865
Digit sum / digital root17 / 8
Collatz steps to 1107
Scientific notation8.0081 × 10410^{4}

80081 in other forms

FormValue
In wordseighty thousand and eighty-one
Binary (base 2)10011100011010001
Octal (base 8)234321
Hexadecimal (base 16)138D1
Base 311001211222
As time80081 seconds = 22 h 14 min 41 s

Is 80081 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 1)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.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80081 a prime number?

No. 80081 = 73 × 1097, so it is divisible by 73.

What are the factors of 80081?

1, 73, 1097, 80081.

What is 80081 in binary?

10011100011010001 (hexadecimal 138D1, octal 234321).

What is the square root of 80081?

About 282.9859.

Is 80081 divisible by 3?

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

What is special about the number 80081?

80081 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 1097, the product of two primes.

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    80081: is it prime? Factors, square root, binary, Roman numeral | WordGPT