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The number 18616

18616 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 13 × 179. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 179, 358, 716, 1432, 2327, 4654, 9308, 18616.

Number

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How to work it out

  1. 1

    18616 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

    18616 is composite. Its prime factorisation is

    18616=23×13×17918616 = 2^{3} \times 13 \times 179
  3. 3

    The divisors add up to 37800; without 18616 itself that is 19184, so 18616 is abundant (19184 is more than 18616). Euler's totient φ(18616) = 8544 numbers up to 18616 share no factor with it.

  4. 4

    The digits of 18616 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18616 = 2^{3} \times 13 \times 179 \]

18616 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors37800
Euler totient φ(n)8544
Square346555456
Cube6451476368896
Square root136.440463 (= 2√4654)
Digit sum / digital root22 / 4
Collatz steps to 1154
Scientific notation1.8616 × 10410^{4}

18616 in other forms

FormValue
In wordseighteen thousand six hundred and sixteen
Binary (base 2)100100010111000
Octal (base 8)44270
Hexadecimal (base 16)48B8
Base 3221112111
As time18616 seconds = 5 h 10 min 16 s

Is 18616 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18616 ÷ 2 = 9308)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.
4Yes (18616 ÷ 4 = 4654)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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.
8Yes (18616 ÷ 8 = 2327)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18616 a prime number?

No. 18616 = 232^{3} × 13 × 179, so it is divisible by 2.

What are the factors of 18616?

1, 2, 4, 8, 13, 26, 52, 104, 179, 358, 716, 1432, 2327, 4654, 9308, 18616.

What is 18616 in binary?

100100010111000 (hexadecimal 48B8, octal 44270).

What is the square root of 18616?

About 136.4405, exactly 2√4654.

Is 18616 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 18616?

It is a composite number with 16 divisors.

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    18616: is it prime? Factors, square root, binary, Roman numeral | WordGPT