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The number 21927

21927 is a composite number with 4 divisors. Its prime factorisation is 3 × 7309. Divisors (4): 1, 3, 7309, 21927.

Number

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How to work it out

  1. 1

    What is special about 21927: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 7309, the product of two primes.

  2. 2

    21927 is composite. Its prime factorisation is

    21927=3×730921927 = 3 \times 7309
  3. 3

    The divisors add up to 29240; without 21927 itself that is 7313, so 21927 is deficient (7313 is less than 21927). Euler's totient φ(21927) = 14616 numbers up to 21927 share no factor with it.

  4. 4

    The digits of 21927 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21927 = 3 \times 7309 \]

21927 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors29240
Euler totient φ(n)14616
Square480793329
Cube10542355324983
Square root148.077682
Digit sum / digital root21 / 3
Collatz steps to 1123
Scientific notation2.1927 × 10410^{4}

21927 in other forms

FormValue
In wordstwenty-one thousand nine hundred and twenty-seven
Binary (base 2)101010110100111
Octal (base 8)52647
Hexadecimal (base 16)55A7
Base 31010002010
As time21927 seconds = 6 h 5 min 27 s

Is 21927 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).
3Yes (21927 ÷ 3 = 7309)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 3)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 21927 a prime number?

No. 21927 = 3 × 7309, so it is divisible by 3.

What are the factors of 21927?

1, 3, 7309, 21927.

What is 21927 in binary?

101010110100111 (hexadecimal 55A7, octal 52647).

What is the square root of 21927?

About 148.0777.

Is 21927 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 21927?

21927 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 7309, the product of two primes.

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