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The number 42427

42427 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 19 × 29. Divisors (16): 1, 7, 11, 19, 29, 77, 133, 203, 209, 319, 551, 1463, 2233, 3857, 6061, 42427.

Number

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How to work it out

  1. 1

    What is special about 42427: a Harshad number: divisible by its digit sum 19.

  2. 2

    42427 is composite. Its prime factorisation is

    42427=7×11×19×2942427 = 7 \times 11 \times 19 \times 29
  3. 3

    The divisors add up to 57600; without 42427 itself that is 15173, so 42427 is deficient (15173 is less than 42427). Euler's totient φ(42427) = 30240 numbers up to 42427 share no factor with it.

  4. 4

    The digits of 42427 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42427 = 7 \times 11 \times 19 \times 29 \]

42427 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors57600
Euler totient φ(n)30240
Square1800050329
Cube76370735308483
Square root205.978154
Digit sum / digital root19 / 1
Collatz steps to 1132
Scientific notation4.2427 × 10410^{4}

42427 in other forms

FormValue
In wordsforty-two thousand four hundred and twenty-seven
Binary (base 2)1010010110111011
Octal (base 8)122673
Hexadecimal (base 16)A5BB
Base 32011012101
As time42427 seconds = 11 h 47 min 7 s

Is 42427 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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.
7Yes (42427 ÷ 7 = 6061)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11Yes (42427 ÷ 11 = 3857)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42427 a prime number?

No. 42427 = 7 × 11 × 19 × 29, so it is divisible by 7.

What are the factors of 42427?

1, 7, 11, 19, 29, 77, 133, 203, 209, 319, 551, 1463, 2233, 3857, 6061, 42427.

What is 42427 in binary?

1010010110111011 (hexadecimal A5BB, octal 122673).

What is the square root of 42427?

About 205.9782.

Is 42427 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 42427?

42427 is a Harshad number: divisible by its digit sum 19.

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    42427: is it prime? Factors, square root, binary, Roman numeral | WordGPT