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The number 42681

42681 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 347. Divisors (8): 1, 3, 41, 123, 347, 1041, 14227, 42681.

Number

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How to work it out

  1. 1

    42681 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

    42681 is composite. Its prime factorisation is

    42681=3×41×34742681 = 3 \times 41 \times 347
  3. 3

    The divisors add up to 58464; without 42681 itself that is 15783, so 42681 is deficient (15783 is less than 42681). Euler's totient φ(42681) = 27680 numbers up to 42681 share no factor with it.

  4. 4

    The digits of 42681 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42681 = 3 \times 41 \times 347 \]

42681 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors58464
Euler totient φ(n)27680
Square1821667761
Cube77750601707241
Square root206.593804
Digit sum / digital root21 / 3
Collatz steps to 188
Scientific notation4.2681 × 10410^{4}

42681 in other forms

FormValue
In wordsforty-two thousand six hundred and eighty-one
Binary (base 2)1010011010111001
Octal (base 8)123271
Hexadecimal (base 16)A6B9
Base 32011112210
As time42681 seconds = 11 h 51 min 21 s

Is 42681 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).
3Yes (42681 ÷ 3 = 14227)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.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42681 a prime number?

No. 42681 = 3 × 41 × 347, so it is divisible by 3.

What are the factors of 42681?

1, 3, 41, 123, 347, 1041, 14227, 42681.

What is 42681 in binary?

1010011010111001 (hexadecimal A6B9, octal 123271).

What is the square root of 42681?

About 206.5938.

Is 42681 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 42681?

It is a composite number with 8 divisors.

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    42681: is it prime? Factors, square root, binary, Roman numeral | WordGPT