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The number 16088

16088 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 2011. Divisors (8): 1, 2, 4, 8, 2011, 4022, 8044, 16088.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    16088 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

    16088 is composite. Its prime factorisation is

    16088=23×201116088 = 2^{3} \times 2011
  3. 3

    The divisors add up to 30180; without 16088 itself that is 14092, so 16088 is deficient (14092 is less than 16088). Euler's totient φ(16088) = 8040 numbers up to 16088 share no factor with it.

  4. 4

    The digits of 16088 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 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16088 = 2^{3} \times 2011 \]

16088 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors30180
Euler totient φ(n)8040
Square258823744
Cube4163956393472
Square root126.838480 (= 2√4022)
Digit sum / digital root23 / 5
Collatz steps to 145
Scientific notation1.6088 × 10410^{4}

16088 in other forms

FormValue
In wordssixteen thousand and eighty-eight
Binary (base 2)11111011011000
Octal (base 8)37330
Hexadecimal (base 16)3ED8
Base 3211001212
As time16088 seconds = 4 h 28 min 8 s

Is 16088 divisible by 2 to 12?

DivisorAnswerRule
2Yes (16088 ÷ 2 = 8044)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 (16088 ÷ 4 = 4022)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.
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.
8Yes (16088 ÷ 8 = 2011)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.
10No (remainder 8)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 16088 a prime number?

No. 16088 = 232^{3} × 2011, so it is divisible by 2.

What are the factors of 16088?

1, 2, 4, 8, 2011, 4022, 8044, 16088.

What is 16088 in binary?

11111011011000 (hexadecimal 3ED8, octal 37330).

What is the square root of 16088?

About 126.8385, exactly 2√4022.

Is 16088 divisible by 3?

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

What is special about the number 16088?

It is a composite number with 8 divisors.

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    16088: is it prime? Factors, square root, binary, Roman numeral | WordGPT