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The number 14807

14807 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 67. Divisors (8): 1, 13, 17, 67, 221, 871, 1139, 14807.

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How to work it out

  1. 1

    What is special about 14807: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    14807 is composite. Its prime factorisation is

    14807=13×17×6714807 = 13 \times 17 \times 67
  3. 3

    The divisors add up to 17136; without 14807 itself that is 2329, so 14807 is deficient (2329 is less than 14807). Euler's totient φ(14807) = 12672 numbers up to 14807 share no factor with it.

  4. 4

    The digits of 14807 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14807 = 13 \times 17 \times 67 \]

14807 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors17136
Euler totient φ(n)12672
Square219247249
Cube3246394015943
Square root121.684017
Digit sum / digital root20 / 2
Collatz steps to 1195
Scientific notation1.4807 × 10410^{4}

14807 in other forms

FormValue
In wordsfourteen thousand eight hundred and seven
Binary (base 2)11100111010111
Octal (base 8)34727
Hexadecimal (base 16)39D7
Base 3202022102
As time14807 seconds = 4 h 6 min 47 s

Is 14807 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 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14807 a prime number?

No. 14807 = 13 × 17 × 67, so it is divisible by 13.

What are the factors of 14807?

1, 13, 17, 67, 221, 871, 1139, 14807.

What is 14807 in binary?

11100111010111 (hexadecimal 39D7, octal 34727).

What is the square root of 14807?

About 121.6840.

Is 14807 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 14807?

14807 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    14807: is it prime? Factors, square root, binary, Roman numeral | WordGPT