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The number 53363

53363 is a composite number with 8 divisors. Its prime factorisation is 17 × 43 × 73. Divisors (8): 1, 17, 43, 73, 731, 1241, 3139, 53363.

Number

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How to work it out

  1. 1

    53363 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

    53363 is composite. Its prime factorisation is

    53363=17×43×7353363 = 17 \times 43 \times 73
  3. 3

    The divisors add up to 58608; without 53363 itself that is 5245, so 53363 is deficient (5245 is less than 53363). Euler's totient φ(53363) = 48384 numbers up to 53363 share no factor with it.

  4. 4

    The digits of 53363 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53363 = 17 \times 43 \times 73 \]

53363 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors58608
Euler totient φ(n)48384
Square2847609769
Cube151957000103147
Square root231.004329
Digit sum / digital root20 / 2
Collatz steps to 1184
Scientific notation5.3363 × 10410^{4}

53363 in other forms

FormValue
In wordsfifty-three thousand three hundred and sixty-three
Binary (base 2)1101000001110011
Octal (base 8)150163
Hexadecimal (base 16)D073
Base 32201012102
As time53363 seconds = 14 h 49 min 23 s

Is 53363 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.
5No (remainder 3)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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 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 53363 a prime number?

No. 53363 = 17 × 43 × 73, so it is divisible by 17.

What are the factors of 53363?

1, 17, 43, 73, 731, 1241, 3139, 53363.

What is 53363 in binary?

1101000001110011 (hexadecimal D073, octal 150163).

What is the square root of 53363?

About 231.0043.

Is 53363 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 53363?

It is a composite number with 8 divisors.

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    53363: is it prime? Factors, square root, binary, Roman numeral | WordGPT