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The number 49985

49985 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 769. Divisors (8): 1, 5, 13, 65, 769, 3845, 9997, 49985.

Number

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How to work it out

  1. 1

    49985 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

    49985 is composite. Its prime factorisation is

    49985=5×13×76949985 = 5 \times 13 \times 769
  3. 3

    The divisors add up to 64680; without 49985 itself that is 14695, so 49985 is deficient (14695 is less than 49985). Euler's totient φ(49985) = 36864 numbers up to 49985 share no factor with it.

  4. 4

    The digits of 49985 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49985 = 5 \times 13 \times 769 \]

49985 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors64680
Euler totient φ(n)36864
Square2498500225
Cube124887533746625
Square root223.573254
Digit sum / digital root35 / 8
Collatz steps to 165
Scientific notation4.9985 × 10410^{4}

49985 in other forms

FormValue
In wordsforty-nine thousand nine hundred and eighty-five
Binary (base 2)1100001101000001
Octal (base 8)141501
Hexadecimal (base 16)C341
Base 32112120022
As time49985 seconds = 13 h 53 min 5 s

Is 49985 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (49985 ÷ 5 = 9997)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49985 a prime number?

No. 49985 = 5 × 13 × 769, so it is divisible by 5.

What are the factors of 49985?

1, 5, 13, 65, 769, 3845, 9997, 49985.

What is 49985 in binary?

1100001101000001 (hexadecimal C341, octal 141501).

What is the square root of 49985?

About 223.5733.

Is 49985 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 49985?

It is a composite number with 8 divisors.

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    49985: is it prime? Factors, square root, binary, Roman numeral | WordGPT