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The number 42676

42676 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 47 × 227. Divisors (12): 1, 2, 4, 47, 94, 188, 227, 454, 908, 10669, 21338, 42676.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    42676 is composite. Its prime factorisation is

    42676=22×47×22742676 = 2^{2} \times 47 \times 227
  3. 3

    The divisors add up to 76608; without 42676 itself that is 33932, so 42676 is deficient (33932 is less than 42676). Euler's totient φ(42676) = 20792 numbers up to 42676 share no factor with it.

  4. 4

    The digits of 42676 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42676 = 2^{2} \times 47 \times 227 \]

42676 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors76608
Euler totient φ(n)20792
Square1821240976
Cube77723279891776
Square root206.581703 (= 2√10669)
Digit sum / digital root25 / 7
Collatz steps to 149
Scientific notation4.2676 × 10410^{4}

42676 in other forms

FormValue
In wordsforty-two thousand six hundred and seventy-six
Binary (base 2)1010011010110100
Octal (base 8)123264
Hexadecimal (base 16)A6B4
Base 32011112121
As time42676 seconds = 11 h 51 min 16 s

Is 42676 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42676 ÷ 2 = 21338)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (42676 ÷ 4 = 10669)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42676 a prime number?

No. 42676 = 222^{2} × 47 × 227, so it is divisible by 2.

What are the factors of 42676?

1, 2, 4, 47, 94, 188, 227, 454, 908, 10669, 21338, 42676.

What is 42676 in binary?

1010011010110100 (hexadecimal A6B4, octal 123264).

What is the square root of 42676?

About 206.5817, exactly 2√10669.

Is 42676 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 42676?

It is a composite number with 12 divisors.

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    42676: is it prime? Factors, square root, binary, Roman numeral | WordGPT