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The number 42422

42422 is a composite number with 4 divisors. Its prime factorisation is 2 × 21211. Divisors (4): 1, 2, 21211, 42422.

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How to work it out

  1. 1

    What is special about 42422: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21211, the product of two primes.

  2. 2

    42422 is composite. Its prime factorisation is

    42422=2×2121142422 = 2 \times 21211
  3. 3

    The divisors add up to 63636; without 42422 itself that is 21214, so 42422 is deficient (21214 is less than 42422). Euler's totient φ(42422) = 21210 numbers up to 42422 share no factor with it.

  4. 4

    The digits of 42422 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 225 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42422 = 2 \times 21211 \]

42422 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors63636
Euler totient φ(n)21210
Square1799626084
Cube76343737735448
Square root205.966017
Digit sum / digital root14 / 5
Collatz steps to 1225
Scientific notation4.2422 × 10410^{4}

42422 in other forms

FormValue
In wordsforty-two thousand four hundred and twenty-two
Binary (base 2)1010010110110110
Octal (base 8)122666
Hexadecimal (base 16)A5B6
Base 32011012012
As time42422 seconds = 11 h 47 min 2 s

Is 42422 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42422 ÷ 2 = 21211)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 6)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 2)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42422 a prime number?

No. 42422 = 2 × 21211, so it is divisible by 2.

What are the factors of 42422?

1, 2, 21211, 42422.

What is 42422 in binary?

1010010110110110 (hexadecimal A5B6, octal 122666).

What is the square root of 42422?

About 205.9660.

Is 42422 divisible by 3?

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

What is special about the number 42422?

42422 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21211, the product of two primes.

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