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The number 8875

8875 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 71. Divisors (8): 1, 5, 25, 71, 125, 355, 1775, 8875.

Number

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How to work it out

  1. 1

    8875 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

    8875 is composite. Its prime factorisation is

    8875=53Ɨ718875 = 5^{3} \times 71
  3. 3

    The divisors add up to 11232; without 8875 itself that is 2357, so 8875 is deficient (2357 is less than 8875). Euler's totient φ(8875) = 7000 numbers up to 8875 share no factor with it.

  4. 4

    The digits of 8875 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8875 = 5^{3} \times 71 \]

8875 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors11232
Euler totient φ(n)7000
Square78765625
Cube699044921875
Square root94.207218 (= 5√355)
Digit sum / digital root28 / 1
Collatz steps to 196
Scientific notation8.875 Ɨ 10310^{3}

8875 in other forms

FormValue
In wordseight thousand eight hundred and seventy-five
Binary (base 2)10001010101011
Octal (base 8)21253
Hexadecimal (base 16)22AB
Base 3110011201
As time8875 seconds = 2 h 27 min 55 s

Is 8875 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.
5Yes (8875 Ć· 5 = 1775)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 6)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 8875 a prime number?

No. 8875 = 535^{3} Ɨ 71, so it is divisible by 5.

What are the factors of 8875?

1, 5, 25, 71, 125, 355, 1775, 8875.

What is 8875 in binary?

10001010101011 (hexadecimal 22AB, octal 21253).

What is the square root of 8875?

About 94.2072, exactly 5√355.

Is 8875 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 8875?

It is a composite number with 8 divisors.

All about 8875

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