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The number 18997

18997 is a composite number with 6 divisors. Its prime factorisation is 11211^{2} Ɨ 157. Divisors (6): 1, 11, 121, 157, 1727, 18997.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    18997 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

    18997 is composite. Its prime factorisation is

    18997=112Ɨ15718997 = 11^{2} \times 157
  3. 3

    The divisors add up to 21014; without 18997 itself that is 2017, so 18997 is deficient (2017 is less than 18997). Euler's totient φ(18997) = 17160 numbers up to 18997 share no factor with it.

  4. 4

    The digits of 18997 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18997 = 11^{2} \times 157 \]

18997 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors21014
Euler totient φ(n)17160
Square360886009
Cube6855751512973
Square root137.829605 (= 11√157)
Digit sum / digital root34 / 7
Collatz steps to 179
Scientific notation1.8997 Ɨ 10410^{4}

18997 in other forms

FormValue
In wordseighteen thousand nine hundred and ninety-seven
Binary (base 2)100101000110101
Octal (base 8)45065
Hexadecimal (base 16)4A35
Base 3222001121
As time18997 seconds = 5 h 16 min 37 s

Is 18997 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 5)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 7)A number is divisible by 10 if the last digit is 0.
11Yes (18997 Ć· 11 = 1727)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 18997 a prime number?

No. 18997 = 11211^{2} Ɨ 157, so it is divisible by 11.

What are the factors of 18997?

1, 11, 121, 157, 1727, 18997.

What is 18997 in binary?

100101000110101 (hexadecimal 4A35, octal 45065).

What is the square root of 18997?

About 137.8296, exactly 11√157.

Is 18997 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 18997?

It is a composite number with 6 divisors.

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    18997: is it prime? Factors, square root, binary, Roman numeral | WordGPT