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The number 43481

43481 is the 4532nd prime number. Its only divisors are 1 and 43481.

Number

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How to work it out

  1. 1

    What is special about 43481: the 4532nd prime number.

  2. 2

    43481 is prime, so its only factors are 1 and 43481. It is the 4532nd prime; the next prime is 43487 and the one before is 43457.

  3. 3

    The divisors add up to 43482; without 43481 itself that is 1, so 43481 is deficient (1 is less than 43481). Euler's totient φ(43481) = 43480 numbers up to 43481 share no factor with it.

  4. 4

    The digits of 43481 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 119 steps to reach 1.

43481 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors43482
Euler totient φ(n)43480
Square1890597361
Cube82205063853641
Square root208.520982
Digit sum / digital root20 / 2
Collatz steps to 1119
Scientific notation4.3481 × 10410^{4}

43481 in other forms

FormValue
In wordsforty-three thousand four hundred and eighty-one
Binary (base 2)1010100111011001
Octal (base 8)124731
Hexadecimal (base 16)A9D9
Base 32012122102
As time43481 seconds = 12 h 4 min 41 s

Is 43481 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 2)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 1)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.
10No (remainder 1)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 43481 a prime number?

Yes. 43481 is divisible only by 1 and itself.

What are the factors of 43481?

1, 43481.

What is 43481 in binary?

1010100111011001 (hexadecimal A9D9, octal 124731).

What is the square root of 43481?

About 208.5210.

Is 43481 divisible by 3?

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

What is special about the number 43481?

43481 is the 4532nd prime number.

All about 43481

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    43481: is it prime? Factors, square root, binary, Roman numeral | WordGPT