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The number 14749

14749 is a composite number with 8 divisors. Its prime factorisation is 737^{3} Ɨ 43. Divisors (8): 1, 7, 43, 49, 301, 343, 2107, 14749.

Number

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How to work it out

  1. 1

    14749 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

    14749 is composite. Its prime factorisation is

    14749=73Ɨ4314749 = 7^{3} \times 43
  3. 3

    The divisors add up to 17600; without 14749 itself that is 2851, so 14749 is deficient (2851 is less than 14749). Euler's totient φ(14749) = 12348 numbers up to 14749 share no factor with it.

  4. 4

    The digits of 14749 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14749 = 7^{3} \times 43 \]

14749 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors17600
Euler totient φ(n)12348
Square217533001
Cube3208394231749
Square root121.445461 (= 7√301)
Digit sum / digital root25 / 7
Collatz steps to 145
Scientific notation1.4749 Ɨ 10410^{4}

14749 in other forms

FormValue
In wordsfourteen thousand seven hundred and forty-nine
Binary (base 2)11100110011101
Octal (base 8)34635
Hexadecimal (base 16)399D
Base 3202020021
As time14749 seconds = 4 h 5 min 49 s

Is 14749 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).
3No (remainder 1)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (14749 Ć· 7 = 2107)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.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14749 a prime number?

No. 14749 = 737^{3} Ɨ 43, so it is divisible by 7.

What are the factors of 14749?

1, 7, 43, 49, 301, 343, 2107, 14749.

What is 14749 in binary?

11100110011101 (hexadecimal 399D, octal 34635).

What is the square root of 14749?

About 121.4455, exactly 7√301.

Is 14749 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 14749?

It is a composite number with 8 divisors.

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    14749: is it prime? Factors, square root, binary, Roman numeral | WordGPT