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The number 42313

42313 is a composite number with 8 divisors. Its prime factorisation is 17 × 19 × 131. Divisors (8): 1, 17, 19, 131, 323, 2227, 2489, 42313.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42313 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

    42313 is composite. Its prime factorisation is

    42313=17×19×13142313 = 17 \times 19 \times 131
  3. 3

    The divisors add up to 47520; without 42313 itself that is 5207, so 42313 is deficient (5207 is less than 42313). Euler's totient φ(42313) = 37440 numbers up to 42313 share no factor with it.

  4. 4

    The digits of 42313 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42313 = 17 \times 19 \times 131 \]

42313 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors47520
Euler totient φ(n)37440
Square1790389969
Cube75756770758297
Square root205.701240
Digit sum / digital root13 / 4
Collatz steps to 180
Scientific notation4.2313 × 10410^{4}

42313 in other forms

FormValue
In wordsforty-two thousand three hundred and thirteen
Binary (base 2)1010010101001001
Octal (base 8)122511
Hexadecimal (base 16)A549
Base 32011001011
As time42313 seconds = 11 h 45 min 13 s

Is 42313 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 1)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42313 a prime number?

No. 42313 = 17 × 19 × 131, so it is divisible by 17.

What are the factors of 42313?

1, 17, 19, 131, 323, 2227, 2489, 42313.

What is 42313 in binary?

1010010101001001 (hexadecimal A549, octal 122511).

What is the square root of 42313?

About 205.7012.

Is 42313 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 42313?

It is a composite number with 8 divisors.

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    42313: is it prime? Factors, square root, binary, Roman numeral | WordGPT