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The number 96471

96471 is a composite number with 12 divisors. Its prime factorisation is 353^{5} × 397. Divisors (12): 1, 3, 9, 27, 81, 243, 397, 1191, 3573, 10719, 32157, 96471.

Number

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How to work it out

  1. 1

    What is special about 96471: a Harshad number: divisible by its digit sum 27.

  2. 2

    96471 is composite. Its prime factorisation is

    96471=35×39796471 = 3^{5} \times 397
  3. 3

    The divisors add up to 144872; without 96471 itself that is 48401, so 96471 is deficient (48401 is less than 96471). Euler's totient φ(96471) = 64152 numbers up to 96471 share no factor with it.

  4. 4

    The digits of 96471 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 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 96471 = 3^{5} \times 397 \]

96471 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors144872
Euler totient φ(n)64152
Square9306653841
Cube897822202695111
Square root310.597811 (= 9√1191)
Digit sum / digital root27 / 9
Collatz steps to 1133
Scientific notation9.6471 × 10410^{4}

96471 in other forms

FormValue
In wordsninety-six thousand four hundred and seventy-one
Binary (base 2)10111100011010111
Octal (base 8)274327
Hexadecimal (base 16)178D7
Base 311220100000
As time96471 seconds = 26 h 47 min 51 s

Is 96471 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 (96471 ÷ 3 = 32157)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 1)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (96471 ÷ 9 = 10719)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96471 a prime number?

No. 96471 = 353^{5} × 397, so it is divisible by 3.

What are the factors of 96471?

1, 3, 9, 27, 81, 243, 397, 1191, 3573, 10719, 32157, 96471.

What is 96471 in binary?

10111100011010111 (hexadecimal 178D7, octal 274327).

What is the square root of 96471?

About 310.5978, exactly 9√1191.

Is 96471 divisible by 3?

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

What is special about the number 96471?

96471 is a Harshad number: divisible by its digit sum 27.

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