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The number 42419

42419 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 251. Divisors (6): 1, 13, 169, 251, 3263, 42419.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42419 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

    42419 is composite. Its prime factorisation is

    42419=132Ɨ25142419 = 13^{2} \times 251
  3. 3

    The divisors add up to 46116; without 42419 itself that is 3697, so 42419 is deficient (3697 is less than 42419). Euler's totient φ(42419) = 39000 numbers up to 42419 share no factor with it.

  4. 4

    The digits of 42419 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 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42419 = 13^{2} \times 251 \]

42419 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors46116
Euler totient φ(n)39000
Square1799371561
Cube76327542246059
Square root205.958734 (= 13√251)
Digit sum / digital root20 / 2
Collatz steps to 1101
Scientific notation4.2419 Ɨ 10410^{4}

42419 in other forms

FormValue
In wordsforty-two thousand four hundred and nineteen
Binary (base 2)1010010110110011
Octal (base 8)122663
Hexadecimal (base 16)A5B3
Base 32011012002
As time42419 seconds = 11 h 46 min 59 s

Is 42419 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 4)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 6)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 3)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 42419 a prime number?

No. 42419 = 13213^{2} Ɨ 251, so it is divisible by 13.

What are the factors of 42419?

1, 13, 169, 251, 3263, 42419.

What is 42419 in binary?

1010010110110011 (hexadecimal A5B3, octal 122663).

What is the square root of 42419?

About 205.9587, exactly 13√251.

Is 42419 divisible by 3?

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

What is special about the number 42419?

It is a composite number with 6 divisors.

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    42419: is it prime? Factors, square root, binary, Roman numeral | WordGPT