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The number 42857

42857 is a composite number with 4 divisors. Its prime factorisation is 17 × 2521. Divisors (4): 1, 17, 2521, 42857.

Number

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How to work it out

  1. 1

    What is special about 42857: a semiprime: 17 × 2521, the product of two primes.

  2. 2

    42857 is composite. Its prime factorisation is

    42857=17×252142857 = 17 \times 2521
  3. 3

    The divisors add up to 45396; without 42857 itself that is 2539, so 42857 is deficient (2539 is less than 42857). Euler's totient φ(42857) = 40320 numbers up to 42857 share no factor with it.

  4. 4

    The digits of 42857 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42857 = 17 \times 2521 \]

42857 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors45396
Euler totient φ(n)40320
Square1836722449
Cube78716413996793
Square root207.019323
Digit sum / digital root26 / 8
Collatz steps to 149
Scientific notation4.2857 × 10410^{4}

42857 in other forms

FormValue
In wordsforty-two thousand eight hundred and fifty-seven
Binary (base 2)1010011101101001
Octal (base 8)123551
Hexadecimal (base 16)A769
Base 32011210022
As time42857 seconds = 11 h 54 min 17 s

Is 42857 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 2)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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.
11No (remainder 1)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 42857 a prime number?

No. 42857 = 17 × 2521, so it is divisible by 17.

What are the factors of 42857?

1, 17, 2521, 42857.

What is 42857 in binary?

1010011101101001 (hexadecimal A769, octal 123551).

What is the square root of 42857?

About 207.0193.

Is 42857 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 42857?

42857 is a semiprime: 17 × 2521, the product of two primes.

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