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The number 56321

56321 is a composite number with 4 divisors. Its prime factorisation is 17 × 3313. Divisors (4): 1, 17, 3313, 56321.

Number

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How to work it out

  1. 1

    What is special about 56321: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 3313, the product of two primes.

  2. 2

    56321 is composite. Its prime factorisation is

    56321=17×331356321 = 17 \times 3313
  3. 3

    The divisors add up to 59652; without 56321 itself that is 3331, so 56321 is deficient (3331 is less than 56321). Euler's totient φ(56321) = 52992 numbers up to 56321 share no factor with it.

  4. 4

    The digits of 56321 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56321 = 17 \times 3313 \]

56321 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors59652
Euler totient φ(n)52992
Square3172055041
Cube178653311964161
Square root237.320458
Digit sum / digital root17 / 8
Collatz steps to 1109
Scientific notation5.6321 × 10410^{4}

56321 in other forms

FormValue
In wordsfifty-six thousand three hundred and twenty-one
Binary (base 2)1101110000000001
Octal (base 8)156001
Hexadecimal (base 16)DC01
Base 32212020222
As time56321 seconds = 15 h 38 min 41 s

Is 56321 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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 1)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 56321 a prime number?

No. 56321 = 17 × 3313, so it is divisible by 17.

What are the factors of 56321?

1, 17, 3313, 56321.

What is 56321 in binary?

1101110000000001 (hexadecimal DC01, octal 156001).

What is the square root of 56321?

About 237.3205.

Is 56321 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 56321?

56321 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 3313, the product of two primes.

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