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The number 84464

84464 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 5279. Divisors (10): 1, 2, 4, 8, 16, 5279, 10558, 21116, 42232, 84464.

Number

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How to work it out

  1. 1

    84464 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

    84464 is composite. Its prime factorisation is

    84464=24×527984464 = 2^{4} \times 5279
  3. 3

    The divisors add up to 163680; without 84464 itself that is 79216, so 84464 is deficient (79216 is less than 84464). Euler's totient φ(84464) = 42224 numbers up to 84464 share no factor with it.

  4. 4

    The digits of 84464 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 84464 = 2^{4} \times 5279 \]

84464 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors163680
Euler totient φ(n)42224
Square7134167296
Cube602580306489344
Square root290.626909 (= 4√5279)
Digit sum / digital root26 / 8
Collatz steps to 181
Scientific notation8.4464 × 10410^{4}

84464 in other forms

FormValue
In wordseighty-four thousand four hundred and sixty-four
Binary (base 2)10100100111110000
Octal (base 8)244760
Hexadecimal (base 16)149F0
Base 311021212022
As time84464 seconds = 23 h 27 min 44 s

Is 84464 divisible by 2 to 12?

DivisorAnswerRule
2Yes (84464 ÷ 2 = 42232)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 (84464 ÷ 4 = 21116)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 2)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 (84464 ÷ 8 = 10558)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 6)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 84464 a prime number?

No. 84464 = 242^{4} × 5279, so it is divisible by 2.

What are the factors of 84464?

1, 2, 4, 8, 16, 5279, 10558, 21116, 42232, 84464.

What is 84464 in binary?

10100100111110000 (hexadecimal 149F0, octal 244760).

What is the square root of 84464?

About 290.6269, exactly 4√5279.

Is 84464 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 84464?

It is a composite number with 10 divisors.

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