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The number 21629

21629 is a composite number with 4 divisors. Its prime factorisation is 43 × 503. Divisors (4): 1, 43, 503, 21629.

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How to work it out

  1. 1

    What is special about 21629: a semiprime: 43 × 503, the product of two primes.

  2. 2

    21629 is composite. Its prime factorisation is

    21629=43×50321629 = 43 \times 503
  3. 3

    The divisors add up to 22176; without 21629 itself that is 547, so 21629 is deficient (547 is less than 21629). Euler's totient φ(21629) = 21084 numbers up to 21629 share no factor with it.

  4. 4

    The digits of 21629 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21629 = 43 \times 503 \]

21629 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors22176
Euler totient φ(n)21084
Square467813641
Cube10118341241189
Square root147.068011
Digit sum / digital root20 / 2
Collatz steps to 169
Scientific notation2.1629 × 10410^{4}

21629 in other forms

FormValue
In wordstwenty-one thousand six hundred and twenty-nine
Binary (base 2)101010001111101
Octal (base 8)52175
Hexadecimal (base 16)547D
Base 31002200002
As time21629 seconds = 6 h 0 min 29 s

Is 21629 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 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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 21629 a prime number?

No. 21629 = 43 × 503, so it is divisible by 43.

What are the factors of 21629?

1, 43, 503, 21629.

What is 21629 in binary?

101010001111101 (hexadecimal 547D, octal 52175).

What is the square root of 21629?

About 147.0680.

Is 21629 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 21629?

21629 is a semiprime: 43 × 503, the product of two primes.

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