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The number 42826

42826 is a composite number with 24 divisors. Its prime factorisation is 2 × 727^{2} × 19 × 23. Divisors (24): 1, 2, 7, 14, 19, 23, 38, 46, 49, 98, 133, 161, 266, 322, 437, 874 … 42826.

Number

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How to work it out

  1. 1

    42826 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

    42826 is composite. Its prime factorisation is

    42826=2×72×19×2342826 = 2 \times 7^{2} \times 19 \times 23
  3. 3

    The divisors add up to 82080; without 42826 itself that is 39254, so 42826 is deficient (39254 is less than 42826). Euler's totient φ(42826) = 16632 numbers up to 42826 share no factor with it.

  4. 4

    The digits of 42826 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42826 = 2 \times 7^{2} \times 19 \times 23 \]

42826 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors82080
Euler totient φ(n)16632
Square1834066276
Cube78545722335976
Square root206.944437 (= 7√874)
Digit sum / digital root22 / 4
Collatz steps to 149
Scientific notation4.2826 × 10410^{4}

42826 in other forms

FormValue
In wordsforty-two thousand eight hundred and twenty-six
Binary (base 2)1010011101001010
Octal (base 8)123512
Hexadecimal (base 16)A74A
Base 32011202011
As time42826 seconds = 11 h 53 min 46 s

Is 42826 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42826 ÷ 2 = 21413)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.
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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (42826 ÷ 7 = 6118)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42826 a prime number?

No. 42826 = 2 × 727^{2} × 19 × 23, so it is divisible by 2.

What are the factors of 42826?

1, 2, 7, 14, 19, 23, 38, 46, 49, 98, 133, 161, 266, 322, 437, 874, 931, 1127, 1862, 2254, 3059, 6118, 21413, 42826.

What is 42826 in binary?

1010011101001010 (hexadecimal A74A, octal 123512).

What is the square root of 42826?

About 206.9444, exactly 7√874.

Is 42826 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 42826?

It is a composite number with 24 divisors.

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