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The number 14733

14733 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 1637. Divisors (6): 1, 3, 9, 1637, 4911, 14733.

Number

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How to work it out

  1. 1

    14733 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

    14733 is composite. Its prime factorisation is

    14733=32×163714733 = 3^{2} \times 1637
  3. 3

    The divisors add up to 21294; without 14733 itself that is 6561, so 14733 is deficient (6561 is less than 14733). Euler's totient φ(14733) = 9816 numbers up to 14733 share no factor with it.

  4. 4

    The digits of 14733 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 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14733 = 3^{2} \times 1637 \]

14733 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors21294
Euler totient φ(n)9816
Square217061289
Cube3197963970837
Square root121.379570 (= 3√1637)
Digit sum / digital root18 / 9
Collatz steps to 1133
Scientific notation1.4733 × 10410^{4}

14733 in other forms

FormValue
In wordsfourteen thousand seven hundred and thirty-three
Binary (base 2)11100110001101
Octal (base 8)34615
Hexadecimal (base 16)398D
Base 3202012200
As time14733 seconds = 4 h 5 min 33 s

Is 14733 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 (14733 ÷ 3 = 4911)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.
5No (remainder 3)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 5)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 (14733 ÷ 9 = 1637)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14733 a prime number?

No. 14733 = 323^{2} × 1637, so it is divisible by 3.

What are the factors of 14733?

1, 3, 9, 1637, 4911, 14733.

What is 14733 in binary?

11100110001101 (hexadecimal 398D, octal 34615).

What is the square root of 14733?

About 121.3796, exactly 3√1637.

Is 14733 divisible by 3?

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

What is special about the number 14733?

It is a composite number with 6 divisors.

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    14733: is it prime? Factors, square root, binary, Roman numeral | WordGPT