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The number 58942

58942 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 2267. Divisors (8): 1, 2, 13, 26, 2267, 4534, 29471, 58942.

Number

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How to work it out

  1. 1

    What is special about 58942: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    58942 is composite. Its prime factorisation is

    58942=2×13×226758942 = 2 \times 13 \times 2267
  3. 3

    The divisors add up to 95256; without 58942 itself that is 36314, so 58942 is deficient (36314 is less than 58942). Euler's totient φ(58942) = 27192 numbers up to 58942 share no factor with it.

  4. 4

    The digits of 58942 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 104 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58942 = 2 \times 13 \times 2267 \]

58942 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors95256
Euler totient φ(n)27192
Square3474159364
Cube204773901232888
Square root242.779736
Digit sum / digital root28 / 1
Collatz steps to 1104
Scientific notation5.8942 × 10410^{4}

58942 in other forms

FormValue
In wordsfifty-eight thousand nine hundred and forty-two
Binary (base 2)1110011000111110
Octal (base 8)163076
Hexadecimal (base 16)E63E
Base 32222212001
As time58942 seconds = 16 h 22 min 22 s

Is 58942 divisible by 2 to 12?

DivisorAnswerRule
2Yes (58942 ÷ 2 = 29471)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 2)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.
10No (remainder 2)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 58942 a prime number?

No. 58942 = 2 × 13 × 2267, so it is divisible by 2.

What are the factors of 58942?

1, 2, 13, 26, 2267, 4534, 29471, 58942.

What is 58942 in binary?

1110011000111110 (hexadecimal E63E, octal 163076).

What is the square root of 58942?

About 242.7797.

Is 58942 divisible by 3?

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

What is special about the number 58942?

58942 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    58942: is it prime? Factors, square root, binary, Roman numeral | WordGPT