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The number 78329

78329 is a composite number with 8 divisors. Its prime factorisation is 29 × 37 × 73. Divisors (8): 1, 29, 37, 73, 1073, 2117, 2701, 78329.

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How to work it out

  1. 1

    What is special about 78329: a Harshad number: divisible by its digit sum 29.

  2. 2

    78329 is composite. Its prime factorisation is

    78329=29×37×7378329 = 29 \times 37 \times 73
  3. 3

    The divisors add up to 84360; without 78329 itself that is 6031, so 78329 is deficient (6031 is less than 78329). Euler's totient φ(78329) = 72576 numbers up to 78329 share no factor with it.

  4. 4

    The digits of 78329 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.

LaTeX source of the formulas on this page
\[ 78329 = 29 \times 37 \times 73 \]

78329 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors84360
Euler totient φ(n)72576
Square6135432241
Cube480582272005289
Square root279.873186
Digit sum / digital root29 / 2
Collatz steps to 1200
Scientific notation7.8329 × 10410^{4}

78329 in other forms

FormValue
In wordsseventy-eight thousand three hundred and twenty-nine
Binary (base 2)10011000111111001
Octal (base 8)230771
Hexadecimal (base 16)131F9
Base 310222110002
As time78329 seconds = 21 h 45 min 29 s

Is 78329 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 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 1)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 9)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 78329 a prime number?

No. 78329 = 29 × 37 × 73, so it is divisible by 29.

What are the factors of 78329?

1, 29, 37, 73, 1073, 2117, 2701, 78329.

What is 78329 in binary?

10011000111111001 (hexadecimal 131F9, octal 230771).

What is the square root of 78329?

About 279.8732.

Is 78329 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 78329?

78329 is a Harshad number: divisible by its digit sum 29.

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    78329: is it prime? Factors, square root, binary, Roman numeral | WordGPT