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The number 46006

46006 is a composite number with 4 divisors. Its prime factorisation is 2 × 23003. Divisors (4): 1, 2, 23003, 46006.

Number

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How to work it out

  1. 1

    What is special about 46006: a semiprime: 2 × 23003, the product of two primes.

  2. 2

    46006 is composite. Its prime factorisation is

    46006=2×2300346006 = 2 \times 23003
  3. 3

    The divisors add up to 69012; without 46006 itself that is 23006, so 46006 is deficient (23006 is less than 46006). Euler's totient φ(46006) = 23002 numbers up to 46006 share no factor with it.

  4. 4

    The digits of 46006 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46006 = 2 \times 23003 \]

46006 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors69012
Euler totient φ(n)23002
Square2116552036
Cube97374092968216
Square root214.490093
Digit sum / digital root16 / 7
Collatz steps to 1176
Scientific notation4.6006 × 10410^{4}

46006 in other forms

FormValue
In wordsforty-six thousand and six
Binary (base 2)1011001110110110
Octal (base 8)131666
Hexadecimal (base 16)B3B6
Base 32100002221
As time46006 seconds = 12 h 46 min 46 s

Is 46006 divisible by 2 to 12?

DivisorAnswerRule
2Yes (46006 ÷ 2 = 23003)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 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 7)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 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 46006 a prime number?

No. 46006 = 2 × 23003, so it is divisible by 2.

What are the factors of 46006?

1, 2, 23003, 46006.

What is 46006 in binary?

1011001110110110 (hexadecimal B3B6, octal 131666).

What is the square root of 46006?

About 214.4901.

Is 46006 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 46006?

46006 is a semiprime: 2 × 23003, the product of two primes.

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