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The number 53843

53843 is a composite number with 4 divisors. Its prime factorisation is 23 × 2341. Divisors (4): 1, 23, 2341, 53843.

Number

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How to work it out

  1. 1

    What is special about 53843: a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 2341, the product of two primes.

  2. 2

    53843 is composite. Its prime factorisation is

    53843=23×234153843 = 23 \times 2341
  3. 3

    The divisors add up to 56208; without 53843 itself that is 2365, so 53843 is deficient (2365 is less than 53843). Euler's totient φ(53843) = 51480 numbers up to 53843 share no factor with it.

  4. 4

    The digits of 53843 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53843 = 23 \times 2341 \]

53843 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors56208
Euler totient φ(n)51480
Square2899068649
Cube156094553268107
Square root232.040945
Digit sum / digital root23 / 5
Collatz steps to 1153
Scientific notation5.3843 × 10410^{4}

53843 in other forms

FormValue
In wordsfifty-three thousand eight hundred and forty-three
Binary (base 2)1101001001010011
Octal (base 8)151123
Hexadecimal (base 16)D253
Base 32201212012
As time53843 seconds = 14 h 57 min 23 s

Is 53843 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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 9)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 53843 a prime number?

No. 53843 = 23 × 2341, so it is divisible by 23.

What are the factors of 53843?

1, 23, 2341, 53843.

What is 53843 in binary?

1101001001010011 (hexadecimal D253, octal 151123).

What is the square root of 53843?

About 232.0409.

Is 53843 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 53843?

53843 is a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 2341, the product of two primes.

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