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The number 43276

43276 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 31 × 349. Divisors (12): 1, 2, 4, 31, 62, 124, 349, 698, 1396, 10819, 21638, 43276.

Number

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How to work it out

  1. 1

    43276 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

    43276 is composite. Its prime factorisation is

    43276=22×31×34943276 = 2^{2} \times 31 \times 349
  3. 3

    The divisors add up to 78400; without 43276 itself that is 35124, so 43276 is deficient (35124 is less than 43276). Euler's totient φ(43276) = 20880 numbers up to 43276 share no factor with it.

  4. 4

    The digits of 43276 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 119 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43276 = 2^{2} \times 31 \times 349 \]

43276 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors78400
Euler totient φ(n)20880
Square1872812176
Cube81047819728576
Square root208.028844 (= 2√10819)
Digit sum / digital root22 / 4
Collatz steps to 1119
Scientific notation4.3276 × 10410^{4}

43276 in other forms

FormValue
In wordsforty-three thousand two hundred and seventy-six
Binary (base 2)1010100100001100
Octal (base 8)124414
Hexadecimal (base 16)A90C
Base 32012100211
As time43276 seconds = 12 h 1 min 16 s

Is 43276 divisible by 2 to 12?

DivisorAnswerRule
2Yes (43276 ÷ 2 = 21638)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 (43276 ÷ 4 = 10819)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 4)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 4)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 6)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 43276 a prime number?

No. 43276 = 222^{2} × 31 × 349, so it is divisible by 2.

What are the factors of 43276?

1, 2, 4, 31, 62, 124, 349, 698, 1396, 10819, 21638, 43276.

What is 43276 in binary?

1010100100001100 (hexadecimal A90C, octal 124414).

What is the square root of 43276?

About 208.0288, exactly 2√10819.

Is 43276 divisible by 3?

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

What is special about the number 43276?

It is a composite number with 12 divisors.

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