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The number 21353

21353 is a composite number with 4 divisors. Its prime factorisation is 131 × 163. Divisors (4): 1, 131, 163, 21353.

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How to work it out

  1. 1

    What is special about 21353: a semiprime: 131 × 163, the product of two primes.

  2. 2

    21353 is composite. Its prime factorisation is

    21353=131×16321353 = 131 \times 163
  3. 3

    The divisors add up to 21648; without 21353 itself that is 295, so 21353 is deficient (295 is less than 21353). Euler's totient φ(21353) = 21060 numbers up to 21353 share no factor with it.

  4. 4

    The digits of 21353 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21353 = 131 \times 163 \]

21353 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors21648
Euler totient φ(n)21060
Square455950609
Cube9735913353977
Square root146.126657
Digit sum / digital root14 / 5
Collatz steps to 148
Scientific notation2.1353 × 10410^{4}

21353 in other forms

FormValue
In wordstwenty-one thousand three hundred and fifty-three
Binary (base 2)101001101101001
Octal (base 8)51551
Hexadecimal (base 16)5369
Base 31002021212
As time21353 seconds = 5 h 55 min 53 s

Is 21353 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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 2)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 21353 a prime number?

No. 21353 = 131 × 163, so it is divisible by 131.

What are the factors of 21353?

1, 131, 163, 21353.

What is 21353 in binary?

101001101101001 (hexadecimal 5369, octal 51551).

What is the square root of 21353?

About 146.1267.

Is 21353 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 21353?

21353 is a semiprime: 131 × 163, the product of two primes.

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