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The number 42761

42761 is a composite number with 4 divisors. Its prime factorisation is 61 × 701. Divisors (4): 1, 61, 701, 42761.

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How to work it out

  1. 1

    What is special about 42761: a semiprime: 61 × 701, the product of two primes.

  2. 2

    42761 is composite. Its prime factorisation is

    42761=61×70142761 = 61 \times 701
  3. 3

    The divisors add up to 43524; without 42761 itself that is 763, so 42761 is deficient (763 is less than 42761). Euler's totient φ(42761) = 42000 numbers up to 42761 share no factor with it.

  4. 4

    The digits of 42761 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 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42761 = 61 \times 701 \]

42761 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors43524
Euler totient φ(n)42000
Square1828503121
Cube78188621957081
Square root206.787330
Digit sum / digital root20 / 2
Collatz steps to 188
Scientific notation4.2761 × 10410^{4}

42761 in other forms

FormValue
In wordsforty-two thousand seven hundred and sixty-one
Binary (base 2)1010011100001001
Octal (base 8)123411
Hexadecimal (base 16)A709
Base 32011122202
As time42761 seconds = 11 h 52 min 41 s

Is 42761 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 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 5)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 1)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42761 a prime number?

No. 42761 = 61 × 701, so it is divisible by 61.

What are the factors of 42761?

1, 61, 701, 42761.

What is 42761 in binary?

1010011100001001 (hexadecimal A709, octal 123411).

What is the square root of 42761?

About 206.7873.

Is 42761 divisible by 3?

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

What is special about the number 42761?

42761 is a semiprime: 61 × 701, the product of two primes.

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