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The number 42782

42782 is a composite number with 4 divisors. Its prime factorisation is 2 × 21391. Divisors (4): 1, 2, 21391, 42782.

Number

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How to work it out

  1. 1

    What is special about 42782: a semiprime: 2 × 21391, the product of two primes.

  2. 2

    42782 is composite. Its prime factorisation is

    42782=2×2139142782 = 2 \times 21391
  3. 3

    The divisors add up to 64176; without 42782 itself that is 21394, so 42782 is deficient (21394 is less than 42782). Euler's totient φ(42782) = 21390 numbers up to 42782 share no factor with it.

  4. 4

    The digits of 42782 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42782 = 2 \times 21391 \]

42782 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors64176
Euler totient φ(n)21390
Square1830299524
Cube78303874235768
Square root206.838101
Digit sum / digital root23 / 5
Collatz steps to 175
Scientific notation4.2782 × 10410^{4}

42782 in other forms

FormValue
In wordsforty-two thousand seven hundred and eighty-two
Binary (base 2)1010011100011110
Octal (base 8)123436
Hexadecimal (base 16)A71E
Base 32011200112
As time42782 seconds = 11 h 53 min 2 s

Is 42782 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42782 ÷ 2 = 21391)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 2)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 2)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42782 a prime number?

No. 42782 = 2 × 21391, so it is divisible by 2.

What are the factors of 42782?

1, 2, 21391, 42782.

What is 42782 in binary?

1010011100011110 (hexadecimal A71E, octal 123436).

What is the square root of 42782?

About 206.8381.

Is 42782 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 42782?

42782 is a semiprime: 2 × 21391, the product of two primes.

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