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The number 96009

96009 is a composite number with 4 divisors. Its prime factorisation is 3 × 32003. Divisors (4): 1, 3, 32003, 96009.

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How to work it out

  1. 1

    What is special about 96009: a semiprime: 3 × 32003, the product of two primes.

  2. 2

    96009 is composite. Its prime factorisation is

    96009=3×3200396009 = 3 \times 32003
  3. 3

    The divisors add up to 128016; without 96009 itself that is 32007, so 96009 is deficient (32007 is less than 96009). Euler's totient φ(96009) = 64004 numbers up to 96009 share no factor with it.

  4. 4

    The digits of 96009 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.

LaTeX source of the formulas on this page
\[ 96009 = 3 \times 32003 \]

96009 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors128016
Euler totient φ(n)64004
Square9217728081
Cube884984855328729
Square root309.853191
Digit sum / digital root24 / 6
Collatz steps to 1221
Scientific notation9.6009 × 10410^{4}

96009 in other forms

FormValue
In wordsninety-six thousand and nine
Binary (base 2)10111011100001001
Octal (base 8)273411
Hexadecimal (base 16)17709
Base 311212200220
As time96009 seconds = 26 h 40 min 9 s

Is 96009 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 (96009 ÷ 3 = 32003)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 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 6)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 1)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 96009 a prime number?

No. 96009 = 3 × 32003, so it is divisible by 3.

What are the factors of 96009?

1, 3, 32003, 96009.

What is 96009 in binary?

10111011100001001 (hexadecimal 17709, octal 273411).

What is the square root of 96009?

About 309.8532.

Is 96009 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 96009?

96009 is a semiprime: 3 × 32003, the product of two primes.

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