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The number 80732

80732 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 20183. Divisors (6): 1, 2, 4, 20183, 40366, 80732.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    80732 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

    80732 is composite. Its prime factorisation is

    80732=22×2018380732 = 2^{2} \times 20183
  3. 3

    The divisors add up to 141288; without 80732 itself that is 60556, so 80732 is deficient (60556 is less than 80732). Euler's totient φ(80732) = 40364 numbers up to 80732 share no factor with it.

  4. 4

    The digits of 80732 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80732 = 2^{2} \times 20183 \]

80732 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors141288
Euler totient φ(n)40364
Square6517655824
Cube526183389983168
Square root284.133771 (= 2√20183)
Digit sum / digital root20 / 2
Collatz steps to 150
Scientific notation8.0732 × 10410^{4}

80732 in other forms

FormValue
In wordseighty thousand seven hundred and thirty-two
Binary (base 2)10011101101011100
Octal (base 8)235534
Hexadecimal (base 16)13B5C
Base 311002202002
As time80732 seconds = 22 h 25 min 32 s

Is 80732 divisible by 2 to 12?

DivisorAnswerRule
2Yes (80732 ÷ 2 = 40366)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 (80732 ÷ 4 = 20183)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 80732 a prime number?

No. 80732 = 222^{2} × 20183, so it is divisible by 2.

What are the factors of 80732?

1, 2, 4, 20183, 40366, 80732.

What is 80732 in binary?

10011101101011100 (hexadecimal 13B5C, octal 235534).

What is the square root of 80732?

About 284.1338, exactly 2√20183.

Is 80732 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 80732?

It is a composite number with 6 divisors.

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    80732: is it prime? Factors, square root, binary, Roman numeral | WordGPT