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The number 77039

77039 is a composite number with 4 divisors. Its prime factorisation is 41 × 1879. Divisors (4): 1, 41, 1879, 77039.

Number

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How to work it out

  1. 1

    What is special about 77039: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 1879, the product of two primes.

  2. 2

    77039 is composite. Its prime factorisation is

    77039=41×187977039 = 41 \times 1879
  3. 3

    The divisors add up to 78960; without 77039 itself that is 1921, so 77039 is deficient (1921 is less than 77039). Euler's totient φ(77039) = 75120 numbers up to 77039 share no factor with it.

  4. 4

    The digits of 77039 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 306 steps to reach 1.

LaTeX source of the formulas on this page
\[ 77039 = 41 \times 1879 \]

77039 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors78960
Euler totient φ(n)75120
Square5935007521
Cube457227044410319
Square root277.559003
Digit sum / digital root26 / 8
Collatz steps to 1306
Scientific notation7.7039 × 10410^{4}

77039 in other forms

FormValue
In wordsseventy-seven thousand and thirty-nine
Binary (base 2)10010110011101111
Octal (base 8)226357
Hexadecimal (base 16)12CEF
Base 310220200022
As time77039 seconds = 21 h 23 min 59 s

Is 77039 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 4)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 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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 77039 a prime number?

No. 77039 = 41 × 1879, so it is divisible by 41.

What are the factors of 77039?

1, 41, 1879, 77039.

What is 77039 in binary?

10010110011101111 (hexadecimal 12CEF, octal 226357).

What is the square root of 77039?

About 277.5590.

Is 77039 divisible by 3?

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

What is special about the number 77039?

77039 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 1879, the product of two primes.

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