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The number 21913

21913 is a composite number with 4 divisors. Its prime factorisation is 17 × 1289. Divisors (4): 1, 17, 1289, 21913.

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How to work it out

  1. 1

    What is special about 21913: a semiprime: 17 × 1289, the product of two primes.

  2. 2

    21913 is composite. Its prime factorisation is

    21913=17×128921913 = 17 \times 1289
  3. 3

    The divisors add up to 23220; without 21913 itself that is 1307, so 21913 is deficient (1307 is less than 21913). Euler's totient φ(21913) = 20608 numbers up to 21913 share no factor with it.

  4. 4

    The digits of 21913 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21913 = 17 \times 1289 \]

21913 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors23220
Euler totient φ(n)20608
Square480179569
Cube10522174895497
Square root148.030402
Digit sum / digital root16 / 7
Collatz steps to 1162
Scientific notation2.1913 × 10410^{4}

21913 in other forms

FormValue
In wordstwenty-one thousand nine hundred and thirteen
Binary (base 2)101010110011001
Octal (base 8)52631
Hexadecimal (base 16)5599
Base 31010001121
As time21913 seconds = 6 h 5 min 13 s

Is 21913 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 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 1)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 7)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 21913 a prime number?

No. 21913 = 17 × 1289, so it is divisible by 17.

What are the factors of 21913?

1, 17, 1289, 21913.

What is 21913 in binary?

101010110011001 (hexadecimal 5599, octal 52631).

What is the square root of 21913?

About 148.0304.

Is 21913 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 21913?

21913 is a semiprime: 17 × 1289, the product of two primes.

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