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The number 46924

46924 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 11731. Divisors (6): 1, 2, 4, 11731, 23462, 46924.

Number

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How to work it out

  1. 1

    46924 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

    46924 is composite. Its prime factorisation is

    46924=22×1173146924 = 2^{2} \times 11731
  3. 3

    The divisors add up to 82124; without 46924 itself that is 35200, so 46924 is deficient (35200 is less than 46924). Euler's totient φ(46924) = 23460 numbers up to 46924 share no factor with it.

  4. 4

    The digits of 46924 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46924 = 2^{2} \times 11731 \]

46924 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors82124
Euler totient φ(n)23460
Square2201861776
Cube103320161977024
Square root216.619482 (= 2√11731)
Digit sum / digital root25 / 7
Collatz steps to 1106
Scientific notation4.6924 × 10410^{4}

46924 in other forms

FormValue
In wordsforty-six thousand nine hundred and twenty-four
Binary (base 2)1011011101001100
Octal (base 8)133514
Hexadecimal (base 16)B74C
Base 32101100221
As time46924 seconds = 13 h 2 min 4 s

Is 46924 divisible by 2 to 12?

DivisorAnswerRule
2Yes (46924 ÷ 2 = 23462)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.
4Yes (46924 ÷ 4 = 11731)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 4)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 4)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46924 a prime number?

No. 46924 = 222^{2} × 11731, so it is divisible by 2.

What are the factors of 46924?

1, 2, 4, 11731, 23462, 46924.

What is 46924 in binary?

1011011101001100 (hexadecimal B74C, octal 133514).

What is the square root of 46924?

About 216.6195, exactly 2√11731.

Is 46924 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 46924?

It is a composite number with 6 divisors.

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