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The number 42958

42958 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 457. Divisors (8): 1, 2, 47, 94, 457, 914, 21479, 42958.

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How to work it out

  1. 1

    What is special about 42958: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    42958 is composite. Its prime factorisation is

    42958=2×47×45742958 = 2 \times 47 \times 457
  3. 3

    The divisors add up to 65952; without 42958 itself that is 22994, so 42958 is deficient (22994 is less than 42958). Euler's totient φ(42958) = 20976 numbers up to 42958 share no factor with it.

  4. 4

    The digits of 42958 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 194 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42958 = 2 \times 47 \times 457 \]

42958 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors65952
Euler totient φ(n)20976
Square1845389764
Cube79274253481912
Square root207.263118
Digit sum / digital root28 / 1
Collatz steps to 1194
Scientific notation4.2958 × 10410^{4}

42958 in other forms

FormValue
In wordsforty-two thousand nine hundred and fifty-eight
Binary (base 2)1010011111001110
Octal (base 8)123716
Hexadecimal (base 16)A7CE
Base 32011221001
As time42958 seconds = 11 h 55 min 58 s

Is 42958 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42958 ÷ 2 = 21479)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.
5No (remainder 3)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 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.
10No (remainder 8)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42958 a prime number?

No. 42958 = 2 × 47 × 457, so it is divisible by 2.

What are the factors of 42958?

1, 2, 47, 94, 457, 914, 21479, 42958.

What is 42958 in binary?

1010011111001110 (hexadecimal A7CE, octal 123716).

What is the square root of 42958?

About 207.2631.

Is 42958 divisible by 3?

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

What is special about the number 42958?

42958 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    42958: is it prime? Factors, square root, binary, Roman numeral | WordGPT