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The number 5221

5221 is a composite number with 4 divisors. Its prime factorisation is 23 × 227. Divisors (4): 1, 23, 227, 5221.

Number

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How to work it out

  1. 1

    What is special about 5221: a semiprime: 23 × 227, the product of two primes.

  2. 2

    5221 is composite. Its prime factorisation is

    5221=23×2275221 = 23 \times 227
  3. 3

    The divisors add up to 5472; without 5221 itself that is 251, so 5221 is deficient (251 is less than 5221). Euler's totient φ(5221) = 4972 numbers up to 5221 share no factor with it.

  4. 4

    The digits of 5221 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5221 = 23 \times 227 \]

5221 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5472
Euler totient φ(n)4972
Square27258841
Cube142318408861
Square root72.256488
Digit sum / digital root10 / 1
Collatz steps to 154
Scientific notation5.221 × 10310^{3}

5221 in other forms

FormValue
In wordsfive thousand two hundred and twenty-one
Binary (base 2)1010001100101
Octal (base 8)12145
Hexadecimal (base 16)1465
Base 321011101
As time5221 seconds = 1 h 27 min 1 s

Is 5221 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 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 1)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 5)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5221 a prime number?

No. 5221 = 23 × 227, so it is divisible by 23.

What are the factors of 5221?

1, 23, 227, 5221.

What is 5221 in binary?

1010001100101 (hexadecimal 1465, octal 12145).

What is the square root of 5221?

About 72.2565.

Is 5221 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 5221?

5221 is a semiprime: 23 × 227, the product of two primes.

All about 5221

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    5221: is it prime? Factors, square root, binary, Roman numeral | WordGPT