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The number 80716

80716 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 17 × 1187. Divisors (12): 1, 2, 4, 17, 34, 68, 1187, 2374, 4748, 20179, 40358, 80716.

Number

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How to work it out

  1. 1

    80716 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

    80716 is composite. Its prime factorisation is

    80716=22×17×118780716 = 2^{2} \times 17 \times 1187
  3. 3

    The divisors add up to 149688; without 80716 itself that is 68972, so 80716 is deficient (68972 is less than 80716). Euler's totient φ(80716) = 37952 numbers up to 80716 share no factor with it.

  4. 4

    The digits of 80716 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 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80716 = 2^{2} \times 17 \times 1187 \]

80716 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors149688
Euler totient φ(n)37952
Square6515072656
Cube525870604501696
Square root284.105614 (= 2√20179)
Digit sum / digital root22 / 4
Collatz steps to 1138
Scientific notation8.0716 × 10410^{4}

80716 in other forms

FormValue
In wordseighty thousand seven hundred and sixteen
Binary (base 2)10011101101001100
Octal (base 8)235514
Hexadecimal (base 16)13B4C
Base 311002201111
As time80716 seconds = 22 h 25 min 16 s

Is 80716 divisible by 2 to 12?

DivisorAnswerRule
2Yes (80716 ÷ 2 = 40358)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 (80716 ÷ 4 = 20179)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 6)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 4)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 9)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 80716 a prime number?

No. 80716 = 222^{2} × 17 × 1187, so it is divisible by 2.

What are the factors of 80716?

1, 2, 4, 17, 34, 68, 1187, 2374, 4748, 20179, 40358, 80716.

What is 80716 in binary?

10011101101001100 (hexadecimal 13B4C, octal 235514).

What is the square root of 80716?

About 284.1056, exactly 2√20179.

Is 80716 divisible by 3?

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

What is special about the number 80716?

It is a composite number with 12 divisors.

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    80716: is it prime? Factors, square root, binary, Roman numeral | WordGPT