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The number 46813

46813 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 277. Divisors (6): 1, 13, 169, 277, 3601, 46813.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    46813 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

    46813 is composite. Its prime factorisation is

    46813=132Ɨ27746813 = 13^{2} \times 277
  3. 3

    The divisors add up to 50874; without 46813 itself that is 4061, so 46813 is deficient (4061 is less than 46813). Euler's totient φ(46813) = 43056 numbers up to 46813 share no factor with it.

  4. 4

    The digits of 46813 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46813 = 13^{2} \times 277 \]

46813 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors50874
Euler totient φ(n)43056
Square2191456969
Cube102588675089797
Square root216.363121 (= 13√277)
Digit sum / digital root22 / 4
Collatz steps to 1145
Scientific notation4.6813 Ɨ 10410^{4}

46813 in other forms

FormValue
In wordsforty-six thousand eight hundred and thirteen
Binary (base 2)1011011011011101
Octal (base 8)133335
Hexadecimal (base 16)B6DD
Base 32101012211
As time46813 seconds = 13 h 0 min 13 s

Is 46813 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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 1)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.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 5)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46813 a prime number?

No. 46813 = 13213^{2} Ɨ 277, so it is divisible by 13.

What are the factors of 46813?

1, 13, 169, 277, 3601, 46813.

What is 46813 in binary?

1011011011011101 (hexadecimal B6DD, octal 133335).

What is the square root of 46813?

About 216.3631, exactly 13√277.

Is 46813 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 46813?

It is a composite number with 6 divisors.

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