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The number 96489

96489 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 71 × 151. Divisors (12): 1, 3, 9, 71, 151, 213, 453, 639, 1359, 10721, 32163, 96489.

Number

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How to work it out

  1. 1

    96489 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

    96489 is composite. Its prime factorisation is

    96489=32×71×15196489 = 3^{2} \times 71 \times 151
  3. 3

    The divisors add up to 142272; without 96489 itself that is 45783, so 96489 is deficient (45783 is less than 96489). Euler's totient φ(96489) = 63000 numbers up to 96489 share no factor with it.

  4. 4

    The digits of 96489 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 96489 = 3^{2} \times 71 \times 151 \]

96489 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors142272
Euler totient φ(n)63000
Square9310127121
Cube898324855778169
Square root310.626786 (= 3√10721)
Digit sum / digital root36 / 9
Collatz steps to 145
Scientific notation9.6489 × 10410^{4}

96489 in other forms

FormValue
In wordsninety-six thousand four hundred and eighty-nine
Binary (base 2)10111100011101001
Octal (base 8)274351
Hexadecimal (base 16)178E9
Base 311220100200
As time96489 seconds = 26 h 48 min 9 s

Is 96489 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 (96489 ÷ 3 = 32163)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (96489 ÷ 9 = 10721)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96489 a prime number?

No. 96489 = 323^{2} × 71 × 151, so it is divisible by 3.

What are the factors of 96489?

1, 3, 9, 71, 151, 213, 453, 639, 1359, 10721, 32163, 96489.

What is 96489 in binary?

10111100011101001 (hexadecimal 178E9, octal 274351).

What is the square root of 96489?

About 310.6268, exactly 3√10721.

Is 96489 divisible by 3?

Yes. Its digits add up to 36, a multiple of 3.

What is special about the number 96489?

It is a composite number with 12 divisors.

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