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The number 27703

27703 is a composite number with 4 divisors. Its prime factorisation is 13 × 2131. Divisors (4): 1, 13, 2131, 27703.

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How to work it out

  1. 1

    What is special about 27703: a semiprime: 13 × 2131, the product of two primes.

  2. 2

    27703 is composite. Its prime factorisation is

    27703=13×213127703 = 13 \times 2131
  3. 3

    The divisors add up to 29848; without 27703 itself that is 2145, so 27703 is deficient (2145 is less than 27703). Euler's totient φ(27703) = 25560 numbers up to 27703 share no factor with it.

  4. 4

    The digits of 27703 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27703 = 13 \times 2131 \]

27703 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors29848
Euler totient φ(n)25560
Square767456209
Cube21260839357927
Square root166.442182
Digit sum / digital root19 / 1
Collatz steps to 177
Scientific notation2.7703 × 10410^{4}

27703 in other forms

FormValue
In wordstwenty-seven thousand seven hundred and three
Binary (base 2)110110000110111
Octal (base 8)66067
Hexadecimal (base 16)6C37
Base 31102000001
As time27703 seconds = 7 h 41 min 43 s

Is 27703 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 1)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27703 a prime number?

No. 27703 = 13 × 2131, so it is divisible by 13.

What are the factors of 27703?

1, 13, 2131, 27703.

What is 27703 in binary?

110110000110111 (hexadecimal 6C37, octal 66067).

What is the square root of 27703?

About 166.4422.

Is 27703 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 27703?

27703 is a semiprime: 13 × 2131, the product of two primes.

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