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The number 42527

42527 is a composite number with 6 divisors. Its prime factorisation is 23 Ɨ 43243^{2}. Divisors (6): 1, 23, 43, 989, 1849, 42527.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42527 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

    42527 is composite. Its prime factorisation is

    42527=23Ɨ43242527 = 23 \times 43^{2}
  3. 3

    The divisors add up to 45432; without 42527 itself that is 2905, so 42527 is deficient (2905 is less than 42527). Euler's totient φ(42527) = 39732 numbers up to 42527 share no factor with it.

  4. 4

    The digits of 42527 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 62 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42527 = 23 \times 43^{2} \]

42527 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors45432
Euler totient φ(n)39732
Square1808545729
Cube76912024217183
Square root206.220756 (= 43√23)
Digit sum / digital root20 / 2
Collatz steps to 162
Scientific notation4.2527 Ɨ 10410^{4}

42527 in other forms

FormValue
In wordsforty-two thousand five hundred and twenty-seven
Binary (base 2)1010011000011111
Octal (base 8)123037
Hexadecimal (base 16)A61F
Base 32011100002
As time42527 seconds = 11 h 48 min 47 s

Is 42527 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 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 7)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42527 a prime number?

No. 42527 = 23 Ɨ 43243^{2}, so it is divisible by 23.

What are the factors of 42527?

1, 23, 43, 989, 1849, 42527.

What is 42527 in binary?

1010011000011111 (hexadecimal A61F, octal 123037).

What is the square root of 42527?

About 206.2208, exactly 43√23.

Is 42527 divisible by 3?

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

What is special about the number 42527?

It is a composite number with 6 divisors.

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    42527: is it prime? Factors, square root, binary, Roman numeral | WordGPT