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The number 42058

42058 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 1237. Divisors (8): 1, 2, 17, 34, 1237, 2474, 21029, 42058.

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How to work it out

  1. 1

    What is special about 42058: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    42058 is composite. Its prime factorisation is

    42058=2×17×123742058 = 2 \times 17 \times 1237
  3. 3

    The divisors add up to 66852; without 42058 itself that is 24794, so 42058 is deficient (24794 is less than 42058). Euler's totient φ(42058) = 19776 numbers up to 42058 share no factor with it.

  4. 4

    The digits of 42058 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42058 = 2 \times 17 \times 1237 \]

42058 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors66852
Euler totient φ(n)19776
Square1768875364
Cube74395360059112
Square root205.080472
Digit sum / digital root19 / 1
Collatz steps to 1181
Scientific notation4.2058 × 10410^{4}

42058 in other forms

FormValue
In wordsforty-two thousand and fifty-eight
Binary (base 2)1010010001001010
Octal (base 8)122112
Hexadecimal (base 16)A44A
Base 32010200201
As time42058 seconds = 11 h 40 min 58 s

Is 42058 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42058 ÷ 2 = 21029)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 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 2)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 5)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 42058 a prime number?

No. 42058 = 2 × 17 × 1237, so it is divisible by 2.

What are the factors of 42058?

1, 2, 17, 34, 1237, 2474, 21029, 42058.

What is 42058 in binary?

1010010001001010 (hexadecimal A44A, octal 122112).

What is the square root of 42058?

About 205.0805.

Is 42058 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 42058?

42058 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    42058: is it prime? Factors, square root, binary, Roman numeral | WordGPT