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The number 88432

88432 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 5527. Divisors (10): 1, 2, 4, 8, 16, 5527, 11054, 22108, 44216, 88432.

Number

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How to work it out

  1. 1

    88432 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

    88432 is composite. Its prime factorisation is

    88432=24×552788432 = 2^{4} \times 5527
  3. 3

    The divisors add up to 171368; without 88432 itself that is 82936, so 88432 is deficient (82936 is less than 88432). Euler's totient φ(88432) = 44208 numbers up to 88432 share no factor with it.

  4. 4

    The digits of 88432 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 88432 = 2^{4} \times 5527 \]

88432 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors171368
Euler totient φ(n)44208
Square7820218624
Cube691557573357568
Square root297.375184 (= 4√5527)
Digit sum / digital root25 / 7
Collatz steps to 145
Scientific notation8.8432 × 10410^{4}

88432 in other forms

FormValue
In wordseighty-eight thousand four hundred and thirty-two
Binary (base 2)10101100101110000
Octal (base 8)254560
Hexadecimal (base 16)15970
Base 311111022021
As time88432 seconds = 24 h 33 min 52 s

Is 88432 divisible by 2 to 12?

DivisorAnswerRule
2Yes (88432 ÷ 2 = 44216)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (88432 ÷ 4 = 22108)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 (88432 ÷ 8 = 11054)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88432 a prime number?

No. 88432 = 242^{4} × 5527, so it is divisible by 2.

What are the factors of 88432?

1, 2, 4, 8, 16, 5527, 11054, 22108, 44216, 88432.

What is 88432 in binary?

10101100101110000 (hexadecimal 15970, octal 254560).

What is the square root of 88432?

About 297.3752, exactly 4√5527.

Is 88432 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 88432?

It is a composite number with 10 divisors.

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    88432: is it prime? Factors, square root, binary, Roman numeral | WordGPT