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The number 77009

77009 is a composite number with 4 divisors. Its prime factorisation is 53 × 1453. Divisors (4): 1, 53, 1453, 77009.

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How to work it out

  1. 1

    What is special about 77009: a semiprime: 53 × 1453, the product of two primes.

  2. 2

    77009 is composite. Its prime factorisation is

    77009=53×145377009 = 53 \times 1453
  3. 3

    The divisors add up to 78516; without 77009 itself that is 1507, so 77009 is deficient (1507 is less than 77009). Euler's totient φ(77009) = 75504 numbers up to 77009 share no factor with it.

  4. 4

    The digits of 77009 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 77009 = 53 \times 1453 \]

77009 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors78516
Euler totient φ(n)75504
Square5930386081
Cube456693101711729
Square root277.504955
Digit sum / digital root23 / 5
Collatz steps to 176
Scientific notation7.7009 × 10410^{4}

77009 in other forms

FormValue
In wordsseventy-seven thousand and nine
Binary (base 2)10010110011010001
Octal (base 8)226321
Hexadecimal (base 16)12CD1
Base 310220122012
As time77009 seconds = 21 h 23 min 29 s

Is 77009 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 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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 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 77009 a prime number?

No. 77009 = 53 × 1453, so it is divisible by 53.

What are the factors of 77009?

1, 53, 1453, 77009.

What is 77009 in binary?

10010110011010001 (hexadecimal 12CD1, octal 226321).

What is the square root of 77009?

About 277.5050.

Is 77009 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 77009?

77009 is a semiprime: 53 × 1453, the product of two primes.

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    77009: is it prime? Factors, square root, binary, Roman numeral | WordGPT