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The number 18860

18860 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 5 × 23 × 41. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 41, 46, 82, 92, 115, 164, 205, 230, 410 … 18860.

Number

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How to work it out

  1. 1

    What is special about 18860: a Harshad number: divisible by its digit sum 23.

  2. 2

    18860 is composite. Its prime factorisation is

    18860=22×5×23×4118860 = 2^{2} \times 5 \times 23 \times 41
  3. 3

    The divisors add up to 42336; without 18860 itself that is 23476, so 18860 is abundant (23476 is more than 18860). Euler's totient φ(18860) = 7040 numbers up to 18860 share no factor with it.

  4. 4

    The digits of 18860 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18860 = 2^{2} \times 5 \times 23 \times 41 \]

18860 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors42336
Euler totient φ(n)7040
Square355699600
Cube6708494456000
Square root137.331715 (= 2√4715)
Digit sum / digital root23 / 5
Collatz steps to 1105
Scientific notation1.886 × 10410^{4}

18860 in other forms

FormValue
In wordseighteen thousand eight hundred and sixty
Binary (base 2)100100110101100
Octal (base 8)44654
Hexadecimal (base 16)49AC
Base 3221212112
As time18860 seconds = 5 h 14 min 20 s

Is 18860 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18860 ÷ 2 = 9430)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (18860 ÷ 4 = 4715)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (18860 ÷ 5 = 3772)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (18860 ÷ 10 = 1886)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18860 a prime number?

No. 18860 = 222^{2} × 5 × 23 × 41, so it is divisible by 2.

What are the factors of 18860?

1, 2, 4, 5, 10, 20, 23, 41, 46, 82, 92, 115, 164, 205, 230, 410, 460, 820, 943, 1886, 3772, 4715, 9430, 18860.

What is 18860 in binary?

100100110101100 (hexadecimal 49AC, octal 44654).

What is the square root of 18860?

About 137.3317, exactly 2√4715.

Is 18860 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 18860?

18860 is a Harshad number: divisible by its digit sum 23.

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