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The number 42439

42439 is a composite number with 6 divisors. Its prime factorisation is 31 Ɨ 37237^{2}. Divisors (6): 1, 31, 37, 1147, 1369, 42439.

Number

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How to work it out

  1. 1

    42439 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

    42439 is composite. Its prime factorisation is

    42439=31Ɨ37242439 = 31 \times 37^{2}
  3. 3

    The divisors add up to 45024; without 42439 itself that is 2585, so 42439 is deficient (2585 is less than 42439). Euler's totient φ(42439) = 39960 numbers up to 42439 share no factor with it.

  4. 4

    The digits of 42439 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 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42439 = 31 \times 37^{2} \]

42439 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors45024
Euler totient φ(n)39960
Square1801068721
Cube76435555450519
Square root206.007281 (= 37√31)
Digit sum / digital root22 / 4
Collatz steps to 1150
Scientific notation4.2439 Ɨ 10410^{4}

42439 in other forms

FormValue
In wordsforty-two thousand four hundred and thirty-nine
Binary (base 2)1010010111000111
Octal (base 8)122707
Hexadecimal (base 16)A5C7
Base 32011012211
As time42439 seconds = 11 h 47 min 19 s

Is 42439 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 1)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42439 a prime number?

No. 42439 = 31 Ɨ 37237^{2}, so it is divisible by 31.

What are the factors of 42439?

1, 31, 37, 1147, 1369, 42439.

What is 42439 in binary?

1010010111000111 (hexadecimal A5C7, octal 122707).

What is the square root of 42439?

About 206.0073, exactly 37√31.

Is 42439 divisible by 3?

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

What is special about the number 42439?

It is a composite number with 6 divisors.

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    42439: is it prime? Factors, square root, binary, Roman numeral | WordGPT