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The number 42895

42895 is a composite number with 8 divisors. Its prime factorisation is 5 × 23 × 373. Divisors (8): 1, 5, 23, 115, 373, 1865, 8579, 42895.

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How to work it out

  1. 1

    What is special about 42895: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    42895 is composite. Its prime factorisation is

    42895=5×23×37342895 = 5 \times 23 \times 373
  3. 3

    The divisors add up to 53856; without 42895 itself that is 10961, so 42895 is deficient (10961 is less than 42895). Euler's totient φ(42895) = 32736 numbers up to 42895 share no factor with it.

  4. 4

    The digits of 42895 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 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42895 = 5 \times 23 \times 373 \]

42895 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors53856
Euler totient φ(n)32736
Square1839981025
Cube78925986067375
Square root207.111081
Digit sum / digital root28 / 1
Collatz steps to 149
Scientific notation4.2895 × 10410^{4}

42895 in other forms

FormValue
In wordsforty-two thousand eight hundred and ninety-five
Binary (base 2)1010011110001111
Octal (base 8)123617
Hexadecimal (base 16)A78F
Base 32011211201
As time42895 seconds = 11 h 54 min 55 s

Is 42895 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.
5Yes (42895 ÷ 5 = 8579)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 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 7)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 42895 a prime number?

No. 42895 = 5 × 23 × 373, so it is divisible by 5.

What are the factors of 42895?

1, 5, 23, 115, 373, 1865, 8579, 42895.

What is 42895 in binary?

1010011110001111 (hexadecimal A78F, octal 123617).

What is the square root of 42895?

About 207.1111.

Is 42895 divisible by 3?

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

What is special about the number 42895?

42895 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    42895: is it prime? Factors, square root, binary, Roman numeral | WordGPT