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The number 48875

48875 is a composite number with 16 divisors. Its prime factorisation is 535^{3} × 17 × 23. Divisors (16): 1, 5, 17, 23, 25, 85, 115, 125, 391, 425, 575, 1955, 2125, 2875, 9775, 48875.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    48875 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

    48875 is composite. Its prime factorisation is

    48875=53×17×2348875 = 5^{3} \times 17 \times 23
  3. 3

    The divisors add up to 67392; without 48875 itself that is 18517, so 48875 is deficient (18517 is less than 48875). Euler's totient φ(48875) = 35200 numbers up to 48875 share no factor with it.

  4. 4

    The digits of 48875 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48875 = 5^{3} \times 17 \times 23 \]

48875 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors67392
Euler totient φ(n)35200
Square2388765625
Cube116750919921875
Square root221.076910 (= 5√1955)
Digit sum / digital root32 / 5
Collatz steps to 1220
Scientific notation4.8875 × 10410^{4}

48875 in other forms

FormValue
In wordsforty-eight thousand eight hundred and seventy-five
Binary (base 2)1011111011101011
Octal (base 8)137353
Hexadecimal (base 16)BEEB
Base 32111001012
As time48875 seconds = 13 h 34 min 35 s

Is 48875 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 2)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 (48875 ÷ 5 = 9775)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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.
8No (remainder 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48875 a prime number?

No. 48875 = 535^{3} × 17 × 23, so it is divisible by 5.

What are the factors of 48875?

1, 5, 17, 23, 25, 85, 115, 125, 391, 425, 575, 1955, 2125, 2875, 9775, 48875.

What is 48875 in binary?

1011111011101011 (hexadecimal BEEB, octal 137353).

What is the square root of 48875?

About 221.0769, exactly 5√1955.

Is 48875 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 48875?

It is a composite number with 16 divisors.

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    48875: is it prime? Factors, square root, binary, Roman numeral | WordGPT