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The number 42213

42213 is a composite number with 4 divisors. Its prime factorisation is 3 × 14071. Divisors (4): 1, 3, 14071, 42213.

Number

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How to work it out

  1. 1

    What is special about 42213: a semiprime: 3 × 14071, the product of two primes.

  2. 2

    42213 is composite. Its prime factorisation is

    42213=3×1407142213 = 3 \times 14071
  3. 3

    The divisors add up to 56288; without 42213 itself that is 14075, so 42213 is deficient (14075 is less than 42213). Euler's totient φ(42213) = 28140 numbers up to 42213 share no factor with it.

  4. 4

    The digits of 42213 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42213 = 3 \times 14071 \]

42213 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors56288
Euler totient φ(n)28140
Square1781937369
Cube75220922157597
Square root205.458025
Digit sum / digital root12 / 3
Collatz steps to 1106
Scientific notation4.2213 × 10410^{4}

42213 in other forms

FormValue
In wordsforty-two thousand two hundred and thirteen
Binary (base 2)1010010011100101
Octal (base 8)122345
Hexadecimal (base 16)A4E5
Base 32010220110
As time42213 seconds = 11 h 43 min 33 s

Is 42213 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).
3Yes (42213 ÷ 3 = 14071)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 3)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42213 a prime number?

No. 42213 = 3 × 14071, so it is divisible by 3.

What are the factors of 42213?

1, 3, 14071, 42213.

What is 42213 in binary?

1010010011100101 (hexadecimal A4E5, octal 122345).

What is the square root of 42213?

About 205.4580.

Is 42213 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 42213?

42213 is a semiprime: 3 × 14071, the product of two primes.

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