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The number 48376

48376 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 6047. Divisors (8): 1, 2, 4, 8, 6047, 12094, 24188, 48376.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    48376 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

    48376 is composite. Its prime factorisation is

    48376=23×604748376 = 2^{3} \times 6047
  3. 3

    The divisors add up to 90720; without 48376 itself that is 42344, so 48376 is deficient (42344 is less than 48376). Euler's totient φ(48376) = 24184 numbers up to 48376 share no factor with it.

  4. 4

    The digits of 48376 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
\[ 48376 = 2^{3} \times 6047 \]

48376 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors90720
Euler totient φ(n)24184
Square2340237376
Cube113211323301376
Square root219.945448 (= 2√12094)
Digit sum / digital root28 / 1
Collatz steps to 196
Scientific notation4.8376 × 10410^{4}

48376 in other forms

FormValue
In wordsforty-eight thousand three hundred and seventy-six
Binary (base 2)1011110011111000
Octal (base 8)136370
Hexadecimal (base 16)BCF8
Base 32110100201
As time48376 seconds = 13 h 26 min 16 s

Is 48376 divisible by 2 to 12?

DivisorAnswerRule
2Yes (48376 ÷ 2 = 24188)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 (48376 ÷ 4 = 12094)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 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.
8Yes (48376 ÷ 8 = 6047)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 6)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48376 a prime number?

No. 48376 = 232^{3} × 6047, so it is divisible by 2.

What are the factors of 48376?

1, 2, 4, 8, 6047, 12094, 24188, 48376.

What is 48376 in binary?

1011110011111000 (hexadecimal BCF8, octal 136370).

What is the square root of 48376?

About 219.9454, exactly 2√12094.

Is 48376 divisible by 3?

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

What is special about the number 48376?

It is a composite number with 8 divisors.

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    48376: is it prime? Factors, square root, binary, Roman numeral | WordGPT