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The number 42413

42413 is a composite number with 8 divisors. Its prime factorisation is 7 × 73 × 83. Divisors (8): 1, 7, 73, 83, 511, 581, 6059, 42413.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42413 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

    42413 is composite. Its prime factorisation is

    42413=7×73×8342413 = 7 \times 73 \times 83
  3. 3

    The divisors add up to 49728; without 42413 itself that is 7315, so 42413 is deficient (7315 is less than 42413). Euler's totient φ(42413) = 35424 numbers up to 42413 share no factor with it.

  4. 4

    The digits of 42413 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42413 = 7 \times 73 \times 83 \]

42413 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors49728
Euler totient φ(n)35424
Square1798862569
Cube76295158138997
Square root205.944167
Digit sum / digital root14 / 5
Collatz steps to 1106
Scientific notation4.2413 × 10410^{4}

42413 in other forms

FormValue
In wordsforty-two thousand four hundred and thirteen
Binary (base 2)1010010110101101
Octal (base 8)122655
Hexadecimal (base 16)A5AD
Base 32011011212
As time42413 seconds = 11 h 46 min 53 s

Is 42413 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 3)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.
7Yes (42413 ÷ 7 = 6059)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 8)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 42413 a prime number?

No. 42413 = 7 × 73 × 83, so it is divisible by 7.

What are the factors of 42413?

1, 7, 73, 83, 511, 581, 6059, 42413.

What is 42413 in binary?

1010010110101101 (hexadecimal A5AD, octal 122655).

What is the square root of 42413?

About 205.9442.

Is 42413 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 42413?

It is a composite number with 8 divisors.

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    42413: is it prime? Factors, square root, binary, Roman numeral | WordGPT