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The number 49933

49933 is a composite number with 8 divisors. Its prime factorisation is 13 × 23 × 167. Divisors (8): 1, 13, 23, 167, 299, 2171, 3841, 49933.

Number

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How to work it out

  1. 1

    49933 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

    49933 is composite. Its prime factorisation is

    49933=13×23×16749933 = 13 \times 23 \times 167
  3. 3

    The divisors add up to 56448; without 49933 itself that is 6515, so 49933 is deficient (6515 is less than 49933). Euler's totient φ(49933) = 43824 numbers up to 49933 share no factor with it.

  4. 4

    The digits of 49933 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 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49933 = 13 \times 23 \times 167 \]

49933 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors56448
Euler totient φ(n)43824
Square2493304489
Cube124498173049237
Square root223.456931
Digit sum / digital root28 / 1
Collatz steps to 152
Scientific notation4.9933 × 10410^{4}

49933 in other forms

FormValue
In wordsforty-nine thousand nine hundred and thirty-three
Binary (base 2)1100001100001101
Octal (base 8)141415
Hexadecimal (base 16)C30D
Base 32112111101
As time49933 seconds = 13 h 52 min 13 s

Is 49933 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 2)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 5)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49933 a prime number?

No. 49933 = 13 × 23 × 167, so it is divisible by 13.

What are the factors of 49933?

1, 13, 23, 167, 299, 2171, 3841, 49933.

What is 49933 in binary?

1100001100001101 (hexadecimal C30D, octal 141415).

What is the square root of 49933?

About 223.4569.

Is 49933 divisible by 3?

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

What is special about the number 49933?

It is a composite number with 8 divisors.

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    49933: is it prime? Factors, square root, binary, Roman numeral | WordGPT