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The number 59242

59242 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 1559. Divisors (8): 1, 2, 19, 38, 1559, 3118, 29621, 59242.

Number

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How to work it out

  1. 1

    What is special about 59242: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    59242 is composite. Its prime factorisation is

    59242=2×19×155959242 = 2 \times 19 \times 1559
  3. 3

    The divisors add up to 93600; without 59242 itself that is 34358, so 59242 is deficient (34358 is less than 59242). Euler's totient φ(59242) = 28044 numbers up to 59242 share no factor with it.

  4. 4

    The digits of 59242 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

LaTeX source of the formulas on this page
\[ 59242 = 2 \times 19 \times 1559 \]

59242 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors93600
Euler totient φ(n)28044
Square3509614564
Cube207916586000488
Square root243.396795
Digit sum / digital root22 / 4
Collatz steps to 1135
Scientific notation5.9242 × 10410^{4}

59242 in other forms

FormValue
In wordsfifty-nine thousand two hundred and forty-two
Binary (base 2)1110011101101010
Octal (base 8)163552
Hexadecimal (base 16)E76A
Base 310000021011
As time59242 seconds = 16 h 27 min 22 s

Is 59242 divisible by 2 to 12?

DivisorAnswerRule
2Yes (59242 ÷ 2 = 29621)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 1)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 4)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 7)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 59242 a prime number?

No. 59242 = 2 × 19 × 1559, so it is divisible by 2.

What are the factors of 59242?

1, 2, 19, 38, 1559, 3118, 29621, 59242.

What is 59242 in binary?

1110011101101010 (hexadecimal E76A, octal 163552).

What is the square root of 59242?

About 243.3968.

Is 59242 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 59242?

59242 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    59242: is it prime? Factors, square root, binary, Roman numeral | WordGPT