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The number 80739

80739 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 8971. Divisors (6): 1, 3, 9, 8971, 26913, 80739.

Number

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How to work it out

  1. 1

    What is special about 80739: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    80739 is composite. Its prime factorisation is

    80739=32×897180739 = 3^{2} \times 8971
  3. 3

    The divisors add up to 116636; without 80739 itself that is 35897, so 80739 is deficient (35897 is less than 80739). Euler's totient φ(80739) = 53820 numbers up to 80739 share no factor with it.

  4. 4

    The digits of 80739 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80739 = 3^{2} \times 8971 \]

80739 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors116636
Euler totient φ(n)53820
Square6518786121
Cube526320272623419
Square root284.146089 (= 3√8971)
Digit sum / digital root27 / 9
Collatz steps to 1138
Scientific notation8.0739 × 10410^{4}

80739 in other forms

FormValue
In wordseighty thousand seven hundred and thirty-nine
Binary (base 2)10011101101100011
Octal (base 8)235543
Hexadecimal (base 16)13B63
Base 311002202100
As time80739 seconds = 22 h 25 min 39 s

Is 80739 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).
3Yes (80739 ÷ 3 = 26913)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 3)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (80739 ÷ 9 = 8971)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.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80739 a prime number?

No. 80739 = 323^{2} × 8971, so it is divisible by 3.

What are the factors of 80739?

1, 3, 9, 8971, 26913, 80739.

What is 80739 in binary?

10011101101100011 (hexadecimal 13B63, octal 235543).

What is the square root of 80739?

About 284.1461, exactly 3√8971.

Is 80739 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 80739?

80739 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    80739: is it prime? Factors, square root, binary, Roman numeral | WordGPT