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The number 39026

39026 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 19 × 79. Divisors (16): 1, 2, 13, 19, 26, 38, 79, 158, 247, 494, 1027, 1501, 2054, 3002, 19513, 39026.

Number

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How to work it out

  1. 1

    What is special about 39026: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    39026 is composite. Its prime factorisation is

    39026=2×13×19×7939026 = 2 \times 13 \times 19 \times 79
  3. 3

    The divisors add up to 67200; without 39026 itself that is 28174, so 39026 is deficient (28174 is less than 39026). Euler's totient φ(39026) = 16848 numbers up to 39026 share no factor with it.

  4. 4

    The digits of 39026 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.

LaTeX source of the formulas on this page
\[ 39026 = 2 \times 13 \times 19 \times 79 \]

39026 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors67200
Euler totient φ(n)16848
Square1523028676
Cube59437717109576
Square root197.549994
Digit sum / digital root20 / 2
Collatz steps to 1124
Scientific notation3.9026 × 10410^{4}

39026 in other forms

FormValue
In wordsthirty-nine thousand and twenty-six
Binary (base 2)1001100001110010
Octal (base 8)114162
Hexadecimal (base 16)9872
Base 31222112102
As time39026 seconds = 10 h 50 min 26 s

Is 39026 divisible by 2 to 12?

DivisorAnswerRule
2Yes (39026 ÷ 2 = 19513)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 1)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.
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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 39026 a prime number?

No. 39026 = 2 × 13 × 19 × 79, so it is divisible by 2.

What are the factors of 39026?

1, 2, 13, 19, 26, 38, 79, 158, 247, 494, 1027, 1501, 2054, 3002, 19513, 39026.

What is 39026 in binary?

1001100001110010 (hexadecimal 9872, octal 114162).

What is the square root of 39026?

About 197.5500.

Is 39026 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 39026?

39026 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    39026: is it prime? Factors, square root, binary, Roman numeral | WordGPT