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The number 21097

21097 is a composite number with 6 divisors. Its prime factorisation is 17217^{2} Ɨ 73. Divisors (6): 1, 17, 73, 289, 1241, 21097.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    21097 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    21097 is composite. Its prime factorisation is

    21097=172Ɨ7321097 = 17^{2} \times 73
  3. 3

    The divisors add up to 22718; without 21097 itself that is 1621, so 21097 is deficient (1621 is less than 21097). Euler's totient φ(21097) = 19584 numbers up to 21097 share no factor with it.

  4. 4

    The digits of 21097 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21097 = 17^{2} \times 73 \]

21097 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors22718
Euler totient φ(n)19584
Square445083409
Cube9389924679673
Square root145.248064 (= 17√73)
Digit sum / digital root19 / 1
Collatz steps to 179
Scientific notation2.1097 Ɨ 10410^{4}

21097 in other forms

FormValue
In wordstwenty-one thousand and ninety-seven
Binary (base 2)101001001101001
Octal (base 8)51151
Hexadecimal (base 16)5269
Base 31001221101
As time21097 seconds = 5 h 51 min 37 s

Is 21097 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 2)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 21097 a prime number?

No. 21097 = 17217^{2} Ɨ 73, so it is divisible by 17.

What are the factors of 21097?

1, 17, 73, 289, 1241, 21097.

What is 21097 in binary?

101001001101001 (hexadecimal 5269, octal 51151).

What is the square root of 21097?

About 145.2481, exactly 17√73.

Is 21097 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 21097?

It is a composite number with 6 divisors.

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    21097: is it prime? Factors, square root, binary, Roman numeral | WordGPT