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The number 46550

46550 is a composite number with 36 divisors. Its prime factorisation is 2 × 525^{2} × 727^{2} × 19. Divisors (36): 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 49, 50, 70, 95, 98, 133 … 46550.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    46550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    46550 is composite. Its prime factorisation is

    46550=2×52×72×1946550 = 2 \times 5^{2} \times 7^{2} \times 19
  3. 3

    The divisors add up to 106020; without 46550 itself that is 59470, so 46550 is abundant (59470 is more than 46550). Euler's totient φ(46550) = 15120 numbers up to 46550 share no factor with it.

  4. 4

    The digits of 46550 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 83 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46550 = 2 \times 5^{2} \times 7^{2} \times 19 \]

46550 at a glance

PropertyValue
Typecomposite
Number of divisors36
Sum of divisors106020
Euler totient φ(n)15120
Square2166902500
Cube100869311375000
Square root215.754490 (= 35√38)
Digit sum / digital root20 / 2
Collatz steps to 183
Scientific notation4.655 × 10410^{4}

46550 in other forms

FormValue
In wordsforty-six thousand five hundred and fifty
Binary (base 2)1011010111010110
Octal (base 8)132726
Hexadecimal (base 16)B5D6
Base 32100212002
As time46550 seconds = 12 h 55 min 50 s

Is 46550 divisible by 2 to 12?

DivisorAnswerRule
2Yes (46550 ÷ 2 = 23275)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.
5Yes (46550 ÷ 5 = 9310)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 (46550 ÷ 7 = 6650)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.
10Yes (46550 ÷ 10 = 4655)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 46550 a prime number?

No. 46550 = 2 × 525^{2} × 727^{2} × 19, so it is divisible by 2.

What are the factors of 46550?

1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 49, 50, 70, 95, 98, 133, 175, 190, 245, 266, 350, 475, 490, 665, 931, 950, 1225, 1330, 1862, 2450, 3325, 4655, 6650, 9310, 23275, 46550.

What is 46550 in binary?

1011010111010110 (hexadecimal B5D6, octal 132726).

What is the square root of 46550?

About 215.7545, exactly 35√38.

Is 46550 divisible by 3?

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

What is special about the number 46550?

It is a composite number with 36 divisors.

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