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The number 42859

42859 is the 4482nd prime number. Its only divisors are 1 and 42859.

Number

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How to work it out

  1. 1

    What is special about 42859: the 4482nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    42859 is prime, so its only factors are 1 and 42859. It is the 4482nd prime; the next prime is 42863 and the one before is 42853.

  3. 3

    The divisors add up to 42860; without 42859 itself that is 1, so 42859 is deficient (1 is less than 42859). Euler's totient φ(42859) = 42858 numbers up to 42859 share no factor with it.

  4. 4

    The digits of 42859 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

42859 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors42860
Euler totient φ(n)42858
Square1836893881
Cube78727434845779
Square root207.024153
Digit sum / digital root28 / 1
Collatz steps to 1101
Scientific notation4.2859 × 10410^{4}

42859 in other forms

FormValue
In wordsforty-two thousand eight hundred and fifty-nine
Binary (base 2)1010011101101011
Octal (base 8)123553
Hexadecimal (base 16)A76B
Base 32011210101
As time42859 seconds = 11 h 54 min 19 s

Is 42859 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 4)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 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 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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42859 a prime number?

Yes. 42859 is divisible only by 1 and itself.

What are the factors of 42859?

1, 42859.

What is 42859 in binary?

1010011101101011 (hexadecimal A76B, octal 123553).

What is the square root of 42859?

About 207.0242.

Is 42859 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 42859?

42859 is the 4482nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

All about 42859

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    42859: is it prime? Factors, square root, binary, Roman numeral | WordGPT