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The number 80176

80176 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 5011. Divisors (10): 1, 2, 4, 8, 16, 5011, 10022, 20044, 40088, 80176.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    80176 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    80176 is composite. Its prime factorisation is

    80176=24×501180176 = 2^{4} \times 5011
  3. 3

    The divisors add up to 155372; without 80176 itself that is 75196, so 80176 is deficient (75196 is less than 80176). Euler's totient φ(80176) = 40080 numbers up to 80176 share no factor with it.

  4. 4

    The digits of 80176 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80176 = 2^{4} \times 5011 \]

80176 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors155372
Euler totient φ(n)40080
Square6428190976
Cube515386639691776
Square root283.153669 (= 4√5011)
Digit sum / digital root22 / 4
Collatz steps to 194
Scientific notation8.0176 × 10410^{4}

80176 in other forms

FormValue
In wordseighty thousand one hundred and seventy-six
Binary (base 2)10011100100110000
Octal (base 8)234460
Hexadecimal (base 16)13930
Base 311001222111
As time80176 seconds = 22 h 16 min 16 s

Is 80176 divisible by 2 to 12?

DivisorAnswerRule
2Yes (80176 ÷ 2 = 40088)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (80176 ÷ 4 = 20044)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8Yes (80176 ÷ 8 = 10022)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80176 a prime number?

No. 80176 = 242^{4} × 5011, so it is divisible by 2.

What are the factors of 80176?

1, 2, 4, 8, 16, 5011, 10022, 20044, 40088, 80176.

What is 80176 in binary?

10011100100110000 (hexadecimal 13930, octal 234460).

What is the square root of 80176?

About 283.1537, exactly 4√5011.

Is 80176 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 80176?

It is a composite number with 10 divisors.

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    80176: is it prime? Factors, square root, binary, Roman numeral | WordGPT