WordGPT

The number 42911

42911 is a composite number with 8 divisors. Its prime factorisation is 11 × 47 × 83. Divisors (8): 1, 11, 47, 83, 517, 913, 3901, 42911.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 42911: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    42911 is composite. Its prime factorisation is

    42911=11×47×8342911 = 11 \times 47 \times 83
  3. 3

    The divisors add up to 48384; without 42911 itself that is 5473, so 42911 is deficient (5473 is less than 42911). Euler's totient φ(42911) = 37720 numbers up to 42911 share no factor with it.

  4. 4

    The digits of 42911 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42911 = 11 \times 47 \times 83 \]

42911 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors48384
Euler totient φ(n)37720
Square1841353921
Cube79014338104031
Square root207.149704
Digit sum / digital root17 / 8
Collatz steps to 1194
Scientific notation4.2911 × 10410^{4}

42911 in other forms

FormValue
In wordsforty-two thousand nine hundred and eleven
Binary (base 2)1010011110011111
Octal (base 8)123637
Hexadecimal (base 16)A79F
Base 32011212022
As time42911 seconds = 11 h 55 min 11 s

Is 42911 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 3)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 1)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 8)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.
11Yes (42911 ÷ 11 = 3901)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42911 a prime number?

No. 42911 = 11 × 47 × 83, so it is divisible by 11.

What are the factors of 42911?

1, 11, 47, 83, 517, 913, 3901, 42911.

What is 42911 in binary?

1010011110011111 (hexadecimal A79F, octal 123637).

What is the square root of 42911?

About 207.1497.

Is 42911 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 42911?

42911 is a happy number: repeatedly adding the squares of its digits reaches 1.

Find the next one

Nearby numbers

    42911: is it prime? Factors, square root, binary, Roman numeral | WordGPT