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The number 42311

42311 is a composite number with 4 divisors. Its prime factorisation is 29 × 1459. Divisors (4): 1, 29, 1459, 42311.

Number

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How to work it out

  1. 1

    What is special about 42311: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1459, the product of two primes.

  2. 2

    42311 is composite. Its prime factorisation is

    42311=29×145942311 = 29 \times 1459
  3. 3

    The divisors add up to 43800; without 42311 itself that is 1489, so 42311 is deficient (1489 is less than 42311). Euler's totient φ(42311) = 40824 numbers up to 42311 share no factor with it.

  4. 4

    The digits of 42311 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42311 = 29 \times 1459 \]

42311 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors43800
Euler totient φ(n)40824
Square1790220721
Cube75746028926231
Square root205.696378
Digit sum / digital root11 / 2
Collatz steps to 1106
Scientific notation4.2311 × 10410^{4}

42311 in other forms

FormValue
In wordsforty-two thousand three hundred and eleven
Binary (base 2)1010010101000111
Octal (base 8)122507
Hexadecimal (base 16)A547
Base 32011001002
As time42311 seconds = 11 h 45 min 11 s

Is 42311 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 3)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 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 5)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 42311 a prime number?

No. 42311 = 29 × 1459, so it is divisible by 29.

What are the factors of 42311?

1, 29, 1459, 42311.

What is 42311 in binary?

1010010101000111 (hexadecimal A547, octal 122507).

What is the square root of 42311?

About 205.6964.

Is 42311 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 42311?

42311 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1459, the product of two primes.

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