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The number 46818

46818 is a composite number with 30 divisors. Its prime factorisation is 2 × 343^{4} × 17217^{2}. Divisors (30): 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 289 … 46818.

Number

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How to work it out

  1. 1

    What is special about 46818: a Harshad number: divisible by its digit sum 27.

  2. 2

    46818 is composite. Its prime factorisation is

    46818=2×34×17246818 = 2 \times 3^{4} \times 17^{2}
  3. 3

    The divisors add up to 111441; without 46818 itself that is 64623, so 46818 is abundant (64623 is more than 46818). Euler's totient φ(46818) = 14688 numbers up to 46818 share no factor with it.

  4. 4

    The digits of 46818 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46818 = 2 \times 3^{4} \times 17^{2} \]

46818 at a glance

PropertyValue
Typecomposite
Number of divisors30
Sum of divisors111441
Euler totient φ(n)14688
Square2191925124
Cube102621550455432
Square root216.374675 (= 153√2)
Digit sum / digital root27 / 9
Collatz steps to 1145
Scientific notation4.6818 × 10410^{4}

46818 in other forms

FormValue
In wordsforty-six thousand eight hundred and eighteen
Binary (base 2)1011011011100010
Octal (base 8)133342
Hexadecimal (base 16)B6E2
Base 32101020000
As time46818 seconds = 13 h 0 min 18 s

Is 46818 divisible by 2 to 12?

DivisorAnswerRule
2Yes (46818 ÷ 2 = 23409)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (46818 ÷ 3 = 15606)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (46818 ÷ 6 = 7803)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (46818 ÷ 9 = 5202)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46818 a prime number?

No. 46818 = 2 × 343^{4} × 17217^{2}, so it is divisible by 2.

What are the factors of 46818?

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 289, 306, 459, 578, 867, 918, 1377, 1734, 2601, 2754, 5202, 7803, 15606, 23409, 46818.

What is 46818 in binary?

1011011011100010 (hexadecimal B6E2, octal 133342).

What is the square root of 46818?

About 216.3747, exactly 153√2.

Is 46818 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 46818?

46818 is a Harshad number: divisible by its digit sum 27.

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