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The number 42370

42370 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 19 × 223. Divisors (16): 1, 2, 5, 10, 19, 38, 95, 190, 223, 446, 1115, 2230, 4237, 8474, 21185, 42370.

Number

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How to work it out

  1. 1

    42370 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

    42370 is composite. Its prime factorisation is

    42370=2×5×19×22342370 = 2 \times 5 \times 19 \times 223
  3. 3

    The divisors add up to 80640; without 42370 itself that is 38270, so 42370 is deficient (38270 is less than 42370). Euler's totient φ(42370) = 15984 numbers up to 42370 share no factor with it.

  4. 4

    The digits of 42370 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42370 = 2 \times 5 \times 19 \times 223 \]

42370 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors80640
Euler totient φ(n)15984
Square1795216900
Cube76063340053000
Square root205.839743
Digit sum / digital root16 / 7
Collatz steps to 157
Scientific notation4.237 × 10410^{4}

42370 in other forms

FormValue
In wordsforty-two thousand three hundred and seventy
Binary (base 2)1010010110000010
Octal (base 8)122602
Hexadecimal (base 16)A582
Base 32011010021
As time42370 seconds = 11 h 46 min 10 s

Is 42370 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42370 ÷ 2 = 21185)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 (42370 ÷ 5 = 8474)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 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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (42370 ÷ 10 = 4237)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 42370 a prime number?

No. 42370 = 2 × 5 × 19 × 223, so it is divisible by 2.

What are the factors of 42370?

1, 2, 5, 10, 19, 38, 95, 190, 223, 446, 1115, 2230, 4237, 8474, 21185, 42370.

What is 42370 in binary?

1010010110000010 (hexadecimal A582, octal 122602).

What is the square root of 42370?

About 205.8397.

Is 42370 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 42370?

It is a composite number with 16 divisors.

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    42370: is it prime? Factors, square root, binary, Roman numeral | WordGPT