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The number 80729

80729 is a composite number with 8 divisors. Its prime factorisation is 11 × 41 × 179. Divisors (8): 1, 11, 41, 179, 451, 1969, 7339, 80729.

Number

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How to work it out

  1. 1

    80729 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

    80729 is composite. Its prime factorisation is

    80729=11×41×17980729 = 11 \times 41 \times 179
  3. 3

    The divisors add up to 90720; without 80729 itself that is 9991, so 80729 is deficient (9991 is less than 80729). Euler's totient φ(80729) = 71200 numbers up to 80729 share no factor with it.

  4. 4

    The digits of 80729 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80729 = 11 \times 41 \times 179 \]

80729 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors90720
Euler totient φ(n)71200
Square6517171441
Cube526124733260489
Square root284.128492
Digit sum / digital root26 / 8
Collatz steps to 150
Scientific notation8.0729 × 10410^{4}

80729 in other forms

FormValue
In wordseighty thousand seven hundred and twenty-nine
Binary (base 2)10011101101011001
Octal (base 8)235531
Hexadecimal (base 16)13B59
Base 311002201222
As time80729 seconds = 22 h 25 min 29 s

Is 80729 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 4)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 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.
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 9)A number is divisible by 10 if the last digit is 0.
11Yes (80729 ÷ 11 = 7339)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 80729 a prime number?

No. 80729 = 11 × 41 × 179, so it is divisible by 11.

What are the factors of 80729?

1, 11, 41, 179, 451, 1969, 7339, 80729.

What is 80729 in binary?

10011101101011001 (hexadecimal 13B59, octal 235531).

What is the square root of 80729?

About 284.1285.

Is 80729 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 80729?

It is a composite number with 8 divisors.

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    80729: is it prime? Factors, square root, binary, Roman numeral | WordGPT