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The number 52006

52006 is a composite number with 4 divisors. Its prime factorisation is 2 × 26003. Divisors (4): 1, 2, 26003, 52006.

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How to work it out

  1. 1

    What is special about 52006: a semiprime: 2 × 26003, the product of two primes.

  2. 2

    52006 is composite. Its prime factorisation is

    52006=2×2600352006 = 2 \times 26003
  3. 3

    The divisors add up to 78012; without 52006 itself that is 26006, so 52006 is deficient (26006 is less than 52006). Euler's totient φ(52006) = 26002 numbers up to 52006 share no factor with it.

  4. 4

    The digits of 52006 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52006 = 2 \times 26003 \]

52006 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors78012
Euler totient φ(n)26002
Square2704624036
Cube140656677616216
Square root228.048241
Digit sum / digital root13 / 4
Collatz steps to 1127
Scientific notation5.2006 × 10410^{4}

52006 in other forms

FormValue
In wordsfifty-two thousand and six
Binary (base 2)1100101100100110
Octal (base 8)145446
Hexadecimal (base 16)CB26
Base 32122100011
As time52006 seconds = 14 h 26 min 46 s

Is 52006 divisible by 2 to 12?

DivisorAnswerRule
2Yes (52006 ÷ 2 = 26003)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 1)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 3)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 4)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52006 a prime number?

No. 52006 = 2 × 26003, so it is divisible by 2.

What are the factors of 52006?

1, 2, 26003, 52006.

What is 52006 in binary?

1100101100100110 (hexadecimal CB26, octal 145446).

What is the square root of 52006?

About 228.0482.

Is 52006 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 52006?

52006 is a semiprime: 2 × 26003, the product of two primes.

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