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The number 18498

18498 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 3083. Divisors (8): 1, 2, 3, 6, 3083, 6166, 9249, 18498.

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How to work it out

  1. 1

    What is special about 18498: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    18498 is composite. Its prime factorisation is

    18498=2×3×308318498 = 2 \times 3 \times 3083
  3. 3

    The divisors add up to 37008; without 18498 itself that is 18510, so 18498 is abundant (18510 is more than 18498). Euler's totient φ(18498) = 6164 numbers up to 18498 share no factor with it.

  4. 4

    The digits of 18498 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18498 = 2 \times 3 \times 3083 \]

18498 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors37008
Euler totient φ(n)6164
Square342176004
Cube6329571721992
Square root136.007353
Digit sum / digital root30 / 3
Collatz steps to 1185
Scientific notation1.8498 × 10410^{4}

18498 in other forms

FormValue
In wordseighteen thousand four hundred and ninety-eight
Binary (base 2)100100001000010
Octal (base 8)44102
Hexadecimal (base 16)4842
Base 3221101010
As time18498 seconds = 5 h 8 min 18 s

Is 18498 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18498 ÷ 2 = 9249)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (18498 ÷ 3 = 6166)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)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.
6Yes (18498 ÷ 6 = 3083)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18498 a prime number?

No. 18498 = 2 × 3 × 3083, so it is divisible by 2.

What are the factors of 18498?

1, 2, 3, 6, 3083, 6166, 9249, 18498.

What is 18498 in binary?

100100001000010 (hexadecimal 4842, octal 44102).

What is the square root of 18498?

About 136.0074.

Is 18498 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 18498?

18498 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    18498: is it prime? Factors, square root, binary, Roman numeral | WordGPT