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The number 76391

76391 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1559. Divisors (6): 1, 7, 49, 1559, 10913, 76391.

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How to work it out

  1. 1

    What is special about 76391: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    76391 is composite. Its prime factorisation is

    76391=72Ɨ155976391 = 7^{2} \times 1559
  3. 3

    The divisors add up to 88920; without 76391 itself that is 12529, so 76391 is deficient (12529 is less than 76391). Euler's totient φ(76391) = 65436 numbers up to 76391 share no factor with it.

  4. 4

    The digits of 76391 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 169 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76391 = 7^{2} \times 1559 \]

76391 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors88920
Euler totient φ(n)65436
Square5835584881
Cube445786164644471
Square root276.389218 (= 7√1559)
Digit sum / digital root26 / 8
Collatz steps to 1169
Scientific notation7.6391 Ɨ 10410^{4}

76391 in other forms

FormValue
In wordsseventy-six thousand three hundred and ninety-one
Binary (base 2)10010101001100111
Octal (base 8)225147
Hexadecimal (base 16)12A67
Base 310212210022
As time76391 seconds = 21 h 13 min 11 s

Is 76391 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 3)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.
7Yes (76391 Ć· 7 = 10913)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 7)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76391 a prime number?

No. 76391 = 727^{2} Ɨ 1559, so it is divisible by 7.

What are the factors of 76391?

1, 7, 49, 1559, 10913, 76391.

What is 76391 in binary?

10010101001100111 (hexadecimal 12A67, octal 225147).

What is the square root of 76391?

About 276.3892, exactly 7√1559.

Is 76391 divisible by 3?

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

What is special about the number 76391?

76391 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    76391: is it prime? Factors, square root, binary, Roman numeral | WordGPT