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The number 21631

21631 is a composite number with 4 divisors. Its prime factorisation is 97 × 223. Divisors (4): 1, 97, 223, 21631.

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How to work it out

  1. 1

    What is special about 21631: a semiprime: 97 × 223, the product of two primes.

  2. 2

    21631 is composite. Its prime factorisation is

    21631=97×22321631 = 97 \times 223
  3. 3

    The divisors add up to 21952; without 21631 itself that is 321, so 21631 is deficient (321 is less than 21631). Euler's totient φ(21631) = 21312 numbers up to 21631 share no factor with it.

  4. 4

    The digits of 21631 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21631 = 97 \times 223 \]

21631 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors21952
Euler totient φ(n)21312
Square467900161
Cube10121148382591
Square root147.074811
Digit sum / digital root13 / 4
Collatz steps to 1154
Scientific notation2.1631 × 10410^{4}

21631 in other forms

FormValue
In wordstwenty-one thousand six hundred and thirty-one
Binary (base 2)101010001111111
Octal (base 8)52177
Hexadecimal (base 16)547F
Base 31002200011
As time21631 seconds = 6 h 0 min 31 s

Is 21631 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 1)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 4)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 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 21631 a prime number?

No. 21631 = 97 × 223, so it is divisible by 97.

What are the factors of 21631?

1, 97, 223, 21631.

What is 21631 in binary?

101010001111111 (hexadecimal 547F, octal 52177).

What is the square root of 21631?

About 147.0748.

Is 21631 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 21631?

21631 is a semiprime: 97 × 223, the product of two primes.

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