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The number 48831

48831 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 397. Divisors (8): 1, 3, 41, 123, 397, 1191, 16277, 48831.

Number

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How to work it out

  1. 1

    48831 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

    48831 is composite. Its prime factorisation is

    48831=3×41×39748831 = 3 \times 41 \times 397
  3. 3

    The divisors add up to 66864; without 48831 itself that is 18033, so 48831 is deficient (18033 is less than 48831). Euler's totient φ(48831) = 31680 numbers up to 48831 share no factor with it.

  4. 4

    The digits of 48831 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48831 = 3 \times 41 \times 397 \]

48831 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors66864
Euler totient φ(n)31680
Square2384466561
Cube116435886640191
Square root220.977374
Digit sum / digital root24 / 6
Collatz steps to 1145
Scientific notation4.8831 × 10410^{4}

48831 in other forms

FormValue
In wordsforty-eight thousand eight hundred and thirty-one
Binary (base 2)1011111010111111
Octal (base 8)137277
Hexadecimal (base 16)BEBF
Base 32110222120
As time48831 seconds = 13 h 33 min 51 s

Is 48831 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).
3Yes (48831 ÷ 3 = 16277)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48831 a prime number?

No. 48831 = 3 × 41 × 397, so it is divisible by 3.

What are the factors of 48831?

1, 3, 41, 123, 397, 1191, 16277, 48831.

What is 48831 in binary?

1011111010111111 (hexadecimal BEBF, octal 137277).

What is the square root of 48831?

About 220.9774.

Is 48831 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 48831?

It is a composite number with 8 divisors.

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    48831: is it prime? Factors, square root, binary, Roman numeral | WordGPT