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The number 47096

47096 is a composite number with 24 divisors. Its prime factorisation is 232^{3} × 7 × 29229^{2}. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 841 … 47096.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    47096 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

    47096 is composite. Its prime factorisation is

    47096=23×7×29247096 = 2^{3} \times 7 \times 29^{2}
  3. 3

    The divisors add up to 104520; without 47096 itself that is 57424, so 47096 is abundant (57424 is more than 47096). Euler's totient φ(47096) = 19488 numbers up to 47096 share no factor with it.

  4. 4

    The digits of 47096 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47096 = 2^{3} \times 7 \times 29^{2} \]

47096 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors104520
Euler totient φ(n)19488
Square2218033216
Cube104460492340736
Square root217.016128 (= 58√14)
Digit sum / digital root26 / 8
Collatz steps to 1127
Scientific notation4.7096 × 10410^{4}

47096 in other forms

FormValue
In wordsforty-seven thousand and ninety-six
Binary (base 2)1011011111111000
Octal (base 8)133770
Hexadecimal (base 16)B7F8
Base 32101121022
As time47096 seconds = 13 h 4 min 56 s

Is 47096 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47096 ÷ 2 = 23548)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.
4Yes (47096 ÷ 4 = 11774)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (47096 ÷ 7 = 6728)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (47096 ÷ 8 = 5887)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47096 a prime number?

No. 47096 = 232^{3} × 7 × 29229^{2}, so it is divisible by 2.

What are the factors of 47096?

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 841, 1624, 1682, 3364, 5887, 6728, 11774, 23548, 47096.

What is 47096 in binary?

1011011111111000 (hexadecimal B7F8, octal 133770).

What is the square root of 47096?

About 217.0161, exactly 58√14.

Is 47096 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 47096?

It is a composite number with 24 divisors.

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