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The number 16676

16676 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 11 × 379. Divisors (12): 1, 2, 4, 11, 22, 44, 379, 758, 1516, 4169, 8338, 16676.

Number

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How to work it out

  1. 1

    16676 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

    16676 is composite. Its prime factorisation is

    16676=22×11×37916676 = 2^{2} \times 11 \times 379
  3. 3

    The divisors add up to 31920; without 16676 itself that is 15244, so 16676 is deficient (15244 is less than 16676). Euler's totient φ(16676) = 7560 numbers up to 16676 share no factor with it.

  4. 4

    The digits of 16676 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16676 = 2^{2} \times 11 \times 379 \]

16676 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors31920
Euler totient φ(n)7560
Square278088976
Cube4637411763776
Square root129.135588 (= 2√4169)
Digit sum / digital root26 / 8
Collatz steps to 1159
Scientific notation1.6676 × 10410^{4}

16676 in other forms

FormValue
In wordssixteen thousand six hundred and seventy-six
Binary (base 2)100000100100100
Octal (base 8)40444
Hexadecimal (base 16)4124
Base 3211212122
As time16676 seconds = 4 h 37 min 56 s

Is 16676 divisible by 2 to 12?

DivisorAnswerRule
2Yes (16676 ÷ 2 = 8338)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 (16676 ÷ 4 = 4169)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 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 8)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.
11Yes (16676 ÷ 11 = 1516)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 16676 a prime number?

No. 16676 = 222^{2} × 11 × 379, so it is divisible by 2.

What are the factors of 16676?

1, 2, 4, 11, 22, 44, 379, 758, 1516, 4169, 8338, 16676.

What is 16676 in binary?

100000100100100 (hexadecimal 4124, octal 40444).

What is the square root of 16676?

About 129.1356, exactly 2√4169.

Is 16676 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 16676?

It is a composite number with 12 divisors.

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    16676: is it prime? Factors, square root, binary, Roman numeral | WordGPT