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The number 42679

42679 is a composite number with 12 divisors. Its prime factorisation is 727^{2} × 13 × 67. Divisors (12): 1, 7, 13, 49, 67, 91, 469, 637, 871, 3283, 6097, 42679.

Number

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How to work it out

  1. 1

    42679 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

    42679 is composite. Its prime factorisation is

    42679=72×13×6742679 = 7^{2} \times 13 \times 67
  3. 3

    The divisors add up to 54264; without 42679 itself that is 11585, so 42679 is deficient (11585 is less than 42679). Euler's totient φ(42679) = 33264 numbers up to 42679 share no factor with it.

  4. 4

    The digits of 42679 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42679 = 7^{2} \times 13 \times 67 \]

42679 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors54264
Euler totient φ(n)33264
Square1821497041
Cube77739672212839
Square root206.588964 (= 7√871)
Digit sum / digital root28 / 1
Collatz steps to 188
Scientific notation4.2679 × 10410^{4}

42679 in other forms

FormValue
In wordsforty-two thousand six hundred and seventy-nine
Binary (base 2)1010011010110111
Octal (base 8)123267
Hexadecimal (base 16)A6B7
Base 32011112201
As time42679 seconds = 11 h 51 min 19 s

Is 42679 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.
7Yes (42679 ÷ 7 = 6097)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 1)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 10)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 42679 a prime number?

No. 42679 = 727^{2} × 13 × 67, so it is divisible by 7.

What are the factors of 42679?

1, 7, 13, 49, 67, 91, 469, 637, 871, 3283, 6097, 42679.

What is 42679 in binary?

1010011010110111 (hexadecimal A6B7, octal 123267).

What is the square root of 42679?

About 206.5890, exactly 7√871.

Is 42679 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 42679?

It is a composite number with 12 divisors.

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    42679: is it prime? Factors, square root, binary, Roman numeral | WordGPT