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The number 42365

42365 is a composite number with 8 divisors. Its prime factorisation is 5 × 37 × 229. Divisors (8): 1, 5, 37, 185, 229, 1145, 8473, 42365.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42365 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

    42365 is composite. Its prime factorisation is

    42365=5×37×22942365 = 5 \times 37 \times 229
  3. 3

    The divisors add up to 52440; without 42365 itself that is 10075, so 42365 is deficient (10075 is less than 42365). Euler's totient φ(42365) = 32832 numbers up to 42365 share no factor with it.

  4. 4

    The digits of 42365 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 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42365 = 5 \times 37 \times 229 \]

42365 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors52440
Euler totient φ(n)32832
Square1794793225
Cube76036414977125
Square root205.827598
Digit sum / digital root20 / 2
Collatz steps to 1150
Scientific notation4.2365 × 10410^{4}

42365 in other forms

FormValue
In wordsforty-two thousand three hundred and sixty-five
Binary (base 2)1010010101111101
Octal (base 8)122575
Hexadecimal (base 16)A57D
Base 32011010002
As time42365 seconds = 11 h 46 min 5 s

Is 42365 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (42365 ÷ 5 = 8473)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 5)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 5)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42365 a prime number?

No. 42365 = 5 × 37 × 229, so it is divisible by 5.

What are the factors of 42365?

1, 5, 37, 185, 229, 1145, 8473, 42365.

What is 42365 in binary?

1010010101111101 (hexadecimal A57D, octal 122575).

What is the square root of 42365?

About 205.8276.

Is 42365 divisible by 3?

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

What is special about the number 42365?

It is a composite number with 8 divisors.

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    42365: is it prime? Factors, square root, binary, Roman numeral | WordGPT