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The number 21691

21691 is a composite number with 4 divisors. Its prime factorisation is 109 × 199. Divisors (4): 1, 109, 199, 21691.

Number

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How to work it out

  1. 1

    What is special about 21691: a semiprime: 109 × 199, the product of two primes.

  2. 2

    21691 is composite. Its prime factorisation is

    21691=109×19921691 = 109 \times 199
  3. 3

    The divisors add up to 22000; without 21691 itself that is 309, so 21691 is deficient (309 is less than 21691). Euler's totient φ(21691) = 21384 numbers up to 21691 share no factor with it.

  4. 4

    The digits of 21691 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 100 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21691 = 109 \times 199 \]

21691 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors22000
Euler totient φ(n)21384
Square470499481
Cube10205604242371
Square root147.278647
Digit sum / digital root19 / 1
Collatz steps to 1100
Scientific notation2.1691 × 10410^{4}

21691 in other forms

FormValue
In wordstwenty-one thousand six hundred and ninety-one
Binary (base 2)101010010111011
Octal (base 8)52273
Hexadecimal (base 16)54BB
Base 31002202101
As time21691 seconds = 6 h 1 min 31 s

Is 21691 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 1)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 5)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 3)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 21691 a prime number?

No. 21691 = 109 × 199, so it is divisible by 109.

What are the factors of 21691?

1, 109, 199, 21691.

What is 21691 in binary?

101010010111011 (hexadecimal 54BB, octal 52273).

What is the square root of 21691?

About 147.2786.

Is 21691 divisible by 3?

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

What is special about the number 21691?

21691 is a semiprime: 109 × 199, the product of two primes.

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