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The number 47622

47622 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7937. Divisors (8): 1, 2, 3, 6, 7937, 15874, 23811, 47622.

Number

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How to work it out

  1. 1

    What is special about 47622: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    47622 is composite. Its prime factorisation is

    47622=2×3×793747622 = 2 \times 3 \times 7937
  3. 3

    The divisors add up to 95256; without 47622 itself that is 47634, so 47622 is abundant (47634 is more than 47622). Euler's totient φ(47622) = 15872 numbers up to 47622 share no factor with it.

  4. 4

    The digits of 47622 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47622 = 2 \times 3 \times 7937 \]

47622 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors95256
Euler totient φ(n)15872
Square2267854884
Cube107999785285848
Square root218.224655
Digit sum / digital root21 / 3
Collatz steps to 1101
Scientific notation4.7622 × 10410^{4}

47622 in other forms

FormValue
In wordsforty-seven thousand six hundred and twenty-two
Binary (base 2)1011101000000110
Octal (base 8)135006
Hexadecimal (base 16)BA06
Base 32102022210
As time47622 seconds = 13 h 13 min 42 s

Is 47622 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47622 ÷ 2 = 23811)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (47622 ÷ 3 = 15874)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 (47622 ÷ 6 = 7937)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 3)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 3)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 47622 a prime number?

No. 47622 = 2 × 3 × 7937, so it is divisible by 2.

What are the factors of 47622?

1, 2, 3, 6, 7937, 15874, 23811, 47622.

What is 47622 in binary?

1011101000000110 (hexadecimal BA06, octal 135006).

What is the square root of 47622?

About 218.2247.

Is 47622 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 47622?

47622 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    47622: is it prime? Factors, square root, binary, Roman numeral | WordGPT