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The number 96437

96437 is a composite number with 6 divisors. Its prime factorisation is 11211^{2} Ɨ 797. Divisors (6): 1, 11, 121, 797, 8767, 96437.

Number

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How to work it out

  1. 1

    96437 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

    96437 is composite. Its prime factorisation is

    96437=112Ɨ79796437 = 11^{2} \times 797
  3. 3

    The divisors add up to 106134; without 96437 itself that is 9697, so 96437 is deficient (9697 is less than 96437). Euler's totient φ(96437) = 87560 numbers up to 96437 share no factor with it.

  4. 4

    The digits of 96437 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 190 steps to reach 1.

LaTeX source of the formulas on this page
\[ 96437 = 11^{2} \times 797 \]

96437 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors106134
Euler totient φ(n)87560
Square9300094969
Cube896873258525453
Square root310.543073 (= 11√797)
Digit sum / digital root29 / 2
Collatz steps to 1190
Scientific notation9.6437 Ɨ 10410^{4}

96437 in other forms

FormValue
In wordsninety-six thousand four hundred and thirty-seven
Binary (base 2)10111100010110101
Octal (base 8)274265
Hexadecimal (base 16)178B5
Base 311220021202
As time96437 seconds = 26 h 47 min 17 s

Is 96437 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 2)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 5)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 5)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 7)A number is divisible by 10 if the last digit is 0.
11Yes (96437 Ć· 11 = 8767)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 96437 a prime number?

No. 96437 = 11211^{2} Ɨ 797, so it is divisible by 11.

What are the factors of 96437?

1, 11, 121, 797, 8767, 96437.

What is 96437 in binary?

10111100010110101 (hexadecimal 178B5, octal 274265).

What is the square root of 96437?

About 310.5431, exactly 11√797.

Is 96437 divisible by 3?

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

What is special about the number 96437?

It is a composite number with 6 divisors.

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