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The number 42356

42356 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 10589. Divisors (6): 1, 2, 4, 10589, 21178, 42356.

Number

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How to work it out

  1. 1

    42356 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

    42356 is composite. Its prime factorisation is

    42356=22×1058942356 = 2^{2} \times 10589
  3. 3

    The divisors add up to 74130; without 42356 itself that is 31774, so 42356 is deficient (31774 is less than 42356). Euler's totient φ(42356) = 21176 numbers up to 42356 share no factor with it.

  4. 4

    The digits of 42356 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42356 = 2^{2} \times 10589 \]

42356 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors74130
Euler totient φ(n)21176
Square1794030736
Cube75987965854016
Square root205.805734 (= 2√10589)
Digit sum / digital root20 / 2
Collatz steps to 157
Scientific notation4.2356 × 10410^{4}

42356 in other forms

FormValue
In wordsforty-two thousand three hundred and fifty-six
Binary (base 2)1010010101110100
Octal (base 8)122564
Hexadecimal (base 16)A574
Base 32011002202
As time42356 seconds = 11 h 45 min 56 s

Is 42356 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42356 ÷ 2 = 21178)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.
4Yes (42356 ÷ 4 = 10589)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 6)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 2)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42356 a prime number?

No. 42356 = 222^{2} × 10589, so it is divisible by 2.

What are the factors of 42356?

1, 2, 4, 10589, 21178, 42356.

What is 42356 in binary?

1010010101110100 (hexadecimal A574, octal 122564).

What is the square root of 42356?

About 205.8057, exactly 2√10589.

Is 42356 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 42356?

It is a composite number with 6 divisors.

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