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The number 96464

96464 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 6029. Divisors (10): 1, 2, 4, 8, 16, 6029, 12058, 24116, 48232, 96464.

Number

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How to work it out

  1. 1

    96464 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

    96464 is composite. Its prime factorisation is

    96464=24×602996464 = 2^{4} \times 6029
  3. 3

    The divisors add up to 186930; without 96464 itself that is 90466, so 96464 is deficient (90466 is less than 96464). Euler's totient φ(96464) = 48224 numbers up to 96464 share no factor with it.

  4. 4

    The digits of 96464 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 27 steps to reach 1.

LaTeX source of the formulas on this page
\[ 96464 = 2^{4} \times 6029 \]

96464 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors186930
Euler totient φ(n)48224
Square9305303296
Cube897626777145344
Square root310.586542 (= 4√6029)
Digit sum / digital root29 / 2
Collatz steps to 127
Scientific notation9.6464 × 10410^{4}

96464 in other forms

FormValue
In wordsninety-six thousand four hundred and sixty-four
Binary (base 2)10111100011010000
Octal (base 8)274320
Hexadecimal (base 16)178D0
Base 311220022202
As time96464 seconds = 26 h 47 min 44 s

Is 96464 divisible by 2 to 12?

DivisorAnswerRule
2Yes (96464 ÷ 2 = 48232)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.
4Yes (96464 ÷ 4 = 24116)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 2)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.
8Yes (96464 ÷ 8 = 12058)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 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96464 a prime number?

No. 96464 = 242^{4} × 6029, so it is divisible by 2.

What are the factors of 96464?

1, 2, 4, 8, 16, 6029, 12058, 24116, 48232, 96464.

What is 96464 in binary?

10111100011010000 (hexadecimal 178D0, octal 274320).

What is the square root of 96464?

About 310.5865, exactly 4√6029.

Is 96464 divisible by 3?

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

What is special about the number 96464?

It is a composite number with 10 divisors.

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