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The number 42275

42275 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 19 × 89. Divisors (12): 1, 5, 19, 25, 89, 95, 445, 475, 1691, 2225, 8455, 42275.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42275 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

    42275 is composite. Its prime factorisation is

    42275=52×19×8942275 = 5^{2} \times 19 \times 89
  3. 3

    The divisors add up to 55800; without 42275 itself that is 13525, so 42275 is deficient (13525 is less than 42275). Euler's totient φ(42275) = 31680 numbers up to 42275 share no factor with it.

  4. 4

    The digits of 42275 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 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42275 = 5^{2} \times 19 \times 89 \]

42275 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors55800
Euler totient φ(n)31680
Square1787175625
Cube75552849546875
Square root205.608852 (= 5√1691)
Digit sum / digital root20 / 2
Collatz steps to 157
Scientific notation4.2275 × 10410^{4}

42275 in other forms

FormValue
In wordsforty-two thousand two hundred and seventy-five
Binary (base 2)1010010100100011
Octal (base 8)122443
Hexadecimal (base 16)A523
Base 32010222202
As time42275 seconds = 11 h 44 min 35 s

Is 42275 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.
5Yes (42275 ÷ 5 = 8455)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 2)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 42275 a prime number?

No. 42275 = 525^{2} × 19 × 89, so it is divisible by 5.

What are the factors of 42275?

1, 5, 19, 25, 89, 95, 445, 475, 1691, 2225, 8455, 42275.

What is 42275 in binary?

1010010100100011 (hexadecimal A523, octal 122443).

What is the square root of 42275?

About 205.6089, exactly 5√1691.

Is 42275 divisible by 3?

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

What is special about the number 42275?

It is a composite number with 12 divisors.

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    42275: is it prime? Factors, square root, binary, Roman numeral | WordGPT