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The number 88387

88387 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 523. Divisors (6): 1, 13, 169, 523, 6799, 88387.

Number

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How to work it out

  1. 1

    88387 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

    88387 is composite. Its prime factorisation is

    88387=132Ɨ52388387 = 13^{2} \times 523
  3. 3

    The divisors add up to 95892; without 88387 itself that is 7505, so 88387 is deficient (7505 is less than 88387). Euler's totient φ(88387) = 81432 numbers up to 88387 share no factor with it.

  4. 4

    The digits of 88387 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.

LaTeX source of the formulas on this page
\[ 88387 = 13^{2} \times 523 \]

88387 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors95892
Euler totient φ(n)81432
Square7812261769
Cube690502380976603
Square root297.299512 (= 13√523)
Digit sum / digital root34 / 7
Collatz steps to 1107
Scientific notation8.8387 Ɨ 10410^{4}

88387 in other forms

FormValue
In wordseighty-eight thousand three hundred and eighty-seven
Binary (base 2)10101100101000011
Octal (base 8)254503
Hexadecimal (base 16)15943
Base 311111020121
As time88387 seconds = 24 h 33 min 7 s

Is 88387 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 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 3)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88387 a prime number?

No. 88387 = 13213^{2} Ɨ 523, so it is divisible by 13.

What are the factors of 88387?

1, 13, 169, 523, 6799, 88387.

What is 88387 in binary?

10101100101000011 (hexadecimal 15943, octal 254503).

What is the square root of 88387?

About 297.2995, exactly 13√523.

Is 88387 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 88387?

It is a composite number with 6 divisors.

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    88387: is it prime? Factors, square root, binary, Roman numeral | WordGPT