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The number 14445

14445 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 5 × 107. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 107, 135, 321, 535, 963, 1605, 2889, 4815, 14445.

Number

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How to work it out

  1. 1

    14445 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

    14445 is composite. Its prime factorisation is

    14445=33×5×10714445 = 3^{3} \times 5 \times 107
  3. 3

    The divisors add up to 25920; without 14445 itself that is 11475, so 14445 is deficient (11475 is less than 14445). Euler's totient φ(14445) = 7632 numbers up to 14445 share no factor with it.

  4. 4

    The digits of 14445 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14445 = 3^{3} \times 5 \times 107 \]

14445 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors25920
Euler totient φ(n)7632
Square208658025
Cube3014065171125
Square root120.187354 (= 3√1605)
Digit sum / digital root18 / 9
Collatz steps to 171
Scientific notation1.4445 × 10410^{4}

14445 in other forms

FormValue
In wordsfourteen thousand four hundred and forty-five
Binary (base 2)11100001101101
Octal (base 8)34155
Hexadecimal (base 16)386D
Base 3201211000
As time14445 seconds = 4 h 0 min 45 s

Is 14445 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (14445 ÷ 3 = 4815)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (14445 ÷ 5 = 2889)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (14445 ÷ 9 = 1605)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14445 a prime number?

No. 14445 = 333^{3} × 5 × 107, so it is divisible by 3.

What are the factors of 14445?

1, 3, 5, 9, 15, 27, 45, 107, 135, 321, 535, 963, 1605, 2889, 4815, 14445.

What is 14445 in binary?

11100001101101 (hexadecimal 386D, octal 34155).

What is the square root of 14445?

About 120.1874, exactly 3√1605.

Is 14445 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 14445?

It is a composite number with 16 divisors.

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    14445: is it prime? Factors, square root, binary, Roman numeral | WordGPT