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The number 53321

53321 is a composite number with 4 divisors. Its prime factorisation is 71 × 751. Divisors (4): 1, 71, 751, 53321.

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How to work it out

  1. 1

    What is special about 53321: a semiprime: 71 × 751, the product of two primes.

  2. 2

    53321 is composite. Its prime factorisation is

    53321=71×75153321 = 71 \times 751
  3. 3

    The divisors add up to 54144; without 53321 itself that is 823, so 53321 is deficient (823 is less than 53321). Euler's totient φ(53321) = 52500 numbers up to 53321 share no factor with it.

  4. 4

    The digits of 53321 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53321 = 71 \times 751 \]

53321 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors54144
Euler totient φ(n)52500
Square2843129041
Cube151598483595161
Square root230.913404
Digit sum / digital root14 / 5
Collatz steps to 170
Scientific notation5.3321 × 10410^{4}

53321 in other forms

FormValue
In wordsfifty-three thousand three hundred and twenty-one
Binary (base 2)1101000001001001
Octal (base 8)150111
Hexadecimal (base 16)D049
Base 32201010212
As time53321 seconds = 14 h 48 min 41 s

Is 53321 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.
5No (remainder 1)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 1)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 1)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53321 a prime number?

No. 53321 = 71 × 751, so it is divisible by 71.

What are the factors of 53321?

1, 71, 751, 53321.

What is 53321 in binary?

1101000001001001 (hexadecimal D049, octal 150111).

What is the square root of 53321?

About 230.9134.

Is 53321 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 53321?

53321 is a semiprime: 71 × 751, the product of two primes.

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