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The number 533

533 is a composite number with 4 divisors. Its prime factorisation is 13 × 41. Divisors (4): 1, 13, 41, 533.

Number

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How to work it out

  1. 1

    What is special about 533: a semiprime: 13 × 41, the product of two primes.

  2. 2

    533 is composite. Its prime factorisation is

    533=13×41533 = 13 \times 41
  3. 3

    The divisors add up to 588; without 533 itself that is 55, so 533 is deficient (55 is less than 533). Euler's totient φ(533) = 480 numbers up to 533 share no factor with it.

  4. 4

    The digits of 533 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.

LaTeX source of the formulas on this page
\[ 533 = 13 \times 41 \]

533 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors588
Euler totient φ(n)480
Square284089
Cube151419437
Square root23.086793
Digit sum / digital root11 / 2
Collatz steps to 130
Scientific notation5.33 × 10210^{2}

533 in other forms

FormValue
In wordsfive hundred and thirty-three
Roman numeralsDXXXIII
Binary (base 2)1000010101
Octal (base 8)1025
Hexadecimal (base 16)215
Base 3201202
As time533 seconds = 8 min 53 s

Is 533 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 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 1)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 2)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 5)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 533 a prime number?

No. 533 = 13 × 41, so it is divisible by 13.

What are the factors of 533?

1, 13, 41, 533.

What is 533 in binary?

1000010101 (hexadecimal 215, octal 1025).

What is the square root of 533?

About 23.0868.

What is 533 in Roman numerals?

DXXXIII.

Is 533 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 533?

533 is a semiprime: 13 × 41, the product of two primes.

All about 533

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