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The number 43422

43422 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7237. Divisors (8): 1, 2, 3, 6, 7237, 14474, 21711, 43422.

Number

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How to work it out

  1. 1

    What is special about 43422: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    43422 is composite. Its prime factorisation is

    43422=2×3×723743422 = 2 \times 3 \times 7237
  3. 3

    The divisors add up to 86856; without 43422 itself that is 43434, so 43422 is abundant (43434 is more than 43422). Euler's totient φ(43422) = 14472 numbers up to 43422 share no factor with it.

  4. 4

    The digits of 43422 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 207 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43422 = 2 \times 3 \times 7237 \]

43422 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors86856
Euler totient φ(n)14472
Square1885470084
Cube81870881987448
Square root208.379462
Digit sum / digital root15 / 6
Collatz steps to 1207
Scientific notation4.3422 × 10410^{4}

43422 in other forms

FormValue
In wordsforty-three thousand four hundred and twenty-two
Binary (base 2)1010100110011110
Octal (base 8)124636
Hexadecimal (base 16)A99E
Base 32012120020
As time43422 seconds = 12 h 3 min 42 s

Is 43422 divisible by 2 to 12?

DivisorAnswerRule
2Yes (43422 ÷ 2 = 21711)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (43422 ÷ 3 = 14474)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.
6Yes (43422 ÷ 6 = 7237)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 43422 a prime number?

No. 43422 = 2 × 3 × 7237, so it is divisible by 2.

What are the factors of 43422?

1, 2, 3, 6, 7237, 14474, 21711, 43422.

What is 43422 in binary?

1010100110011110 (hexadecimal A99E, octal 124636).

What is the square root of 43422?

About 208.3795.

Is 43422 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 43422?

43422 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    43422: is it prime? Factors, square root, binary, Roman numeral | WordGPT