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The number 42926

42926 is a composite number with 12 divisors. Its prime factorisation is 2 × 13213^{2} × 127. Divisors (12): 1, 2, 13, 26, 127, 169, 254, 338, 1651, 3302, 21463, 42926.

Number

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How to work it out

  1. 1

    42926 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

    42926 is composite. Its prime factorisation is

    42926=2×132×12742926 = 2 \times 13^{2} \times 127
  3. 3

    The divisors add up to 70272; without 42926 itself that is 27346, so 42926 is deficient (27346 is less than 42926). Euler's totient φ(42926) = 19656 numbers up to 42926 share no factor with it.

  4. 4

    The digits of 42926 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42926 = 2 \times 13^{2} \times 127 \]

42926 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors70272
Euler totient φ(n)19656
Square1842641476
Cube79097227998776
Square root207.185907 (= 13√254)
Digit sum / digital root23 / 5
Collatz steps to 149
Scientific notation4.2926 × 10410^{4}

42926 in other forms

FormValue
In wordsforty-two thousand nine hundred and twenty-six
Binary (base 2)1010011110101110
Octal (base 8)123656
Hexadecimal (base 16)A7AE
Base 32011212212
As time42926 seconds = 11 h 55 min 26 s

Is 42926 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42926 ÷ 2 = 21463)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 1)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 42926 a prime number?

No. 42926 = 2 × 13213^{2} × 127, so it is divisible by 2.

What are the factors of 42926?

1, 2, 13, 26, 127, 169, 254, 338, 1651, 3302, 21463, 42926.

What is 42926 in binary?

1010011110101110 (hexadecimal A7AE, octal 123656).

What is the square root of 42926?

About 207.1859, exactly 13√254.

Is 42926 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 42926?

It is a composite number with 12 divisors.

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    42926: is it prime? Factors, square root, binary, Roman numeral | WordGPT