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The number 87329

87329 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 467. Divisors (8): 1, 11, 17, 187, 467, 5137, 7939, 87329.

Number

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How to work it out

  1. 1

    87329 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

    87329 is composite. Its prime factorisation is

    87329=11×17×46787329 = 11 \times 17 \times 467
  3. 3

    The divisors add up to 101088; without 87329 itself that is 13759, so 87329 is deficient (13759 is less than 87329). Euler's totient φ(87329) = 74560 numbers up to 87329 share no factor with it.

  4. 4

    The digits of 87329 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 71 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87329 = 11 \times 17 \times 467 \]

87329 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors101088
Euler totient φ(n)74560
Square7626354241
Cube666001889512289
Square root295.514805
Digit sum / digital root29 / 2
Collatz steps to 171
Scientific notation8.7329 × 10410^{4}

87329 in other forms

FormValue
In wordseighty-seven thousand three hundred and twenty-nine
Binary (base 2)10101010100100001
Octal (base 8)252441
Hexadecimal (base 16)15521
Base 311102210102
As time87329 seconds = 24 h 15 min 29 s

Is 87329 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 4)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.
11Yes (87329 ÷ 11 = 7939)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 87329 a prime number?

No. 87329 = 11 × 17 × 467, so it is divisible by 11.

What are the factors of 87329?

1, 11, 17, 187, 467, 5137, 7939, 87329.

What is 87329 in binary?

10101010100100001 (hexadecimal 15521, octal 252441).

What is the square root of 87329?

About 295.5148.

Is 87329 divisible by 3?

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

What is special about the number 87329?

It is a composite number with 8 divisors.

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    87329: is it prime? Factors, square root, binary, Roman numeral | WordGPT