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The number 39494

39494 is a composite number with 24 divisors. Its prime factorisation is 2 × 727^{2} × 13 × 31. Divisors (24): 1, 2, 7, 13, 14, 26, 31, 49, 62, 91, 98, 182, 217, 403, 434, 637 … 39494.

Number

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How to work it out

  1. 1

    What is special about 39494: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    39494 is composite. Its prime factorisation is

    39494=2×72×13×3139494 = 2 \times 7^{2} \times 13 \times 31
  3. 3

    The divisors add up to 76608; without 39494 itself that is 37114, so 39494 is deficient (37114 is less than 39494). Euler's totient φ(39494) = 15120 numbers up to 39494 share no factor with it.

  4. 4

    The digits of 39494 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.

LaTeX source of the formulas on this page
\[ 39494 = 2 \times 7^{2} \times 13 \times 31 \]

39494 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors76608
Euler totient φ(n)15120
Square1559776036
Cube61601794765784
Square root198.730974 (= 7√806)
Digit sum / digital root29 / 2
Collatz steps to 1137
Scientific notation3.9494 × 10410^{4}

39494 in other forms

FormValue
In wordsthirty-nine thousand four hundred and ninety-four
Binary (base 2)1001101001000110
Octal (base 8)115106
Hexadecimal (base 16)9A46
Base 32000011202
As time39494 seconds = 10 h 58 min 14 s

Is 39494 divisible by 2 to 12?

DivisorAnswerRule
2Yes (39494 ÷ 2 = 19747)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (39494 ÷ 7 = 5642)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 39494 a prime number?

No. 39494 = 2 × 727^{2} × 13 × 31, so it is divisible by 2.

What are the factors of 39494?

1, 2, 7, 13, 14, 26, 31, 49, 62, 91, 98, 182, 217, 403, 434, 637, 806, 1274, 1519, 2821, 3038, 5642, 19747, 39494.

What is 39494 in binary?

1001101001000110 (hexadecimal 9A46, octal 115106).

What is the square root of 39494?

About 198.7310, exactly 7√806.

Is 39494 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 39494?

39494 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    39494: is it prime? Factors, square root, binary, Roman numeral | WordGPT