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The number 53839

53839 is a composite number with 4 divisors. Its prime factorisation is 17 × 3167. Divisors (4): 1, 17, 3167, 53839.

Number

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How to work it out

  1. 1

    What is special about 53839: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3167, the product of two primes.

  2. 2

    53839 is composite. Its prime factorisation is

    53839=17×316753839 = 17 \times 3167
  3. 3

    The divisors add up to 57024; without 53839 itself that is 3185, so 53839 is deficient (3185 is less than 53839). Euler's totient φ(53839) = 50656 numbers up to 53839 share no factor with it.

  4. 4

    The digits of 53839 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
\[ 53839 = 17 \times 3167 \]

53839 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors57024
Euler totient φ(n)50656
Square2898637921
Cube156059767028719
Square root232.032325
Digit sum / digital root28 / 1
Collatz steps to 152
Scientific notation5.3839 × 10410^{4}

53839 in other forms

FormValue
In wordsfifty-three thousand eight hundred and thirty-nine
Binary (base 2)1101001001001111
Octal (base 8)151117
Hexadecimal (base 16)D24F
Base 32201212001
As time53839 seconds = 14 h 57 min 19 s

Is 53839 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 7)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53839 a prime number?

No. 53839 = 17 × 3167, so it is divisible by 17.

What are the factors of 53839?

1, 17, 3167, 53839.

What is 53839 in binary?

1101001001001111 (hexadecimal D24F, octal 151117).

What is the square root of 53839?

About 232.0323.

Is 53839 divisible by 3?

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

What is special about the number 53839?

53839 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3167, the product of two primes.

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