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The number 21473

21473 is a composite number with 4 divisors. Its prime factorisation is 109 × 197. Divisors (4): 1, 109, 197, 21473.

Number

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How to work it out

  1. 1

    What is special about 21473: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 109 × 197, the product of two primes.

  2. 2

    21473 is composite. Its prime factorisation is

    21473=109×19721473 = 109 \times 197
  3. 3

    The divisors add up to 21780; without 21473 itself that is 307, so 21473 is deficient (307 is less than 21473). Euler's totient φ(21473) = 21168 numbers up to 21473 share no factor with it.

  4. 4

    The digits of 21473 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21473 = 109 \times 197 \]

21473 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors21780
Euler totient φ(n)21168
Square461089729
Cube9900979750817
Square root146.536685
Digit sum / digital root17 / 8
Collatz steps to 148
Scientific notation2.1473 × 10410^{4}

21473 in other forms

FormValue
In wordstwenty-one thousand four hundred and seventy-three
Binary (base 2)101001111100001
Octal (base 8)51741
Hexadecimal (base 16)53E1
Base 31002110022
As time21473 seconds = 5 h 57 min 53 s

Is 21473 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 3)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 1)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 21473 a prime number?

No. 21473 = 109 × 197, so it is divisible by 109.

What are the factors of 21473?

1, 109, 197, 21473.

What is 21473 in binary?

101001111100001 (hexadecimal 53E1, octal 51741).

What is the square root of 21473?

About 146.5367.

Is 21473 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 21473?

21473 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 109 × 197, the product of two primes.

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