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The number 42310

42310 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 4231. Divisors (8): 1, 2, 5, 10, 4231, 8462, 21155, 42310.

Number

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How to work it out

  1. 1

    What is special about 42310: a Harshad number: divisible by its digit sum 10.

  2. 2

    42310 is composite. Its prime factorisation is

    42310=2×5×423142310 = 2 \times 5 \times 4231
  3. 3

    The divisors add up to 76176; without 42310 itself that is 33866, so 42310 is deficient (33866 is less than 42310). Euler's totient φ(42310) = 16920 numbers up to 42310 share no factor with it.

  4. 4

    The digits of 42310 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42310 = 2 \times 5 \times 4231 \]

42310 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors76176
Euler totient φ(n)16920
Square1790136100
Cube75740658391000
Square root205.693947
Digit sum / digital root10 / 1
Collatz steps to 157
Scientific notation4.231 × 10410^{4}

42310 in other forms

FormValue
In wordsforty-two thousand three hundred and ten
Binary (base 2)1010010101000110
Octal (base 8)122506
Hexadecimal (base 16)A546
Base 32011001001
As time42310 seconds = 11 h 45 min 10 s

Is 42310 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42310 ÷ 2 = 21155)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (42310 ÷ 5 = 8462)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 6)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.
10Yes (42310 ÷ 10 = 4231)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42310 a prime number?

No. 42310 = 2 × 5 × 4231, so it is divisible by 2.

What are the factors of 42310?

1, 2, 5, 10, 4231, 8462, 21155, 42310.

What is 42310 in binary?

1010010101000110 (hexadecimal A546, octal 122506).

What is the square root of 42310?

About 205.6939.

Is 42310 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 42310?

42310 is a Harshad number: divisible by its digit sum 10.

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