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The number 27677

27677 is a composite number with 4 divisors. Its prime factorisation is 13 × 2129. Divisors (4): 1, 13, 2129, 27677.

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How to work it out

  1. 1

    What is special about 27677: a semiprime: 13 × 2129, the product of two primes.

  2. 2

    27677 is composite. Its prime factorisation is

    27677=13×212927677 = 13 \times 2129
  3. 3

    The divisors add up to 29820; without 27677 itself that is 2143, so 27677 is deficient (2143 is less than 27677). Euler's totient φ(27677) = 25536 numbers up to 27677 share no factor with it.

  4. 4

    The digits of 27677 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 227 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27677 = 13 \times 2129 \]

27677 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors29820
Euler totient φ(n)25536
Square766016329
Cube21201033937733
Square root166.364059
Digit sum / digital root29 / 2
Collatz steps to 1227
Scientific notation2.7677 × 10410^{4}

27677 in other forms

FormValue
In wordstwenty-seven thousand six hundred and seventy-seven
Binary (base 2)110110000011101
Octal (base 8)66035
Hexadecimal (base 16)6C1D
Base 31101222002
As time27677 seconds = 7 h 41 min 17 s

Is 27677 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 2)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 27677 a prime number?

No. 27677 = 13 × 2129, so it is divisible by 13.

What are the factors of 27677?

1, 13, 2129, 27677.

What is 27677 in binary?

110110000011101 (hexadecimal 6C1D, octal 66035).

What is the square root of 27677?

About 166.3641.

Is 27677 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 27677?

27677 is a semiprime: 13 × 2129, the product of two primes.

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    27677: is it prime? Factors, square root, binary, Roman numeral | WordGPT