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The number 40781

40781 is a composite number with 4 divisors. Its prime factorisation is 13 × 3137. Divisors (4): 1, 13, 3137, 40781.

Number

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How to work it out

  1. 1

    What is special about 40781: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3137, the product of two primes.

  2. 2

    40781 is composite. Its prime factorisation is

    40781=13×313740781 = 13 \times 3137
  3. 3

    The divisors add up to 43932; without 40781 itself that is 3151, so 40781 is deficient (3151 is less than 40781). Euler's totient φ(40781) = 37632 numbers up to 40781 share no factor with it.

  4. 4

    The digits of 40781 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 181 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40781 = 13 \times 3137 \]

40781 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors43932
Euler totient φ(n)37632
Square1663089961
Cube67822471699541
Square root201.943061
Digit sum / digital root20 / 2
Collatz steps to 1181
Scientific notation4.0781 × 10410^{4}

40781 in other forms

FormValue
In wordsforty thousand seven hundred and eighty-one
Binary (base 2)1001111101001101
Octal (base 8)117515
Hexadecimal (base 16)9F4D
Base 32001221102
As time40781 seconds = 11 h 19 min 41 s

Is 40781 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 6)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 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 4)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 40781 a prime number?

No. 40781 = 13 × 3137, so it is divisible by 13.

What are the factors of 40781?

1, 13, 3137, 40781.

What is 40781 in binary?

1001111101001101 (hexadecimal 9F4D, octal 117515).

What is the square root of 40781?

About 201.9431.

Is 40781 divisible by 3?

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

What is special about the number 40781?

40781 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3137, the product of two primes.

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    40781: is it prime? Factors, square root, binary, Roman numeral | WordGPT