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The number 47489

47489 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 281. Divisors (6): 1, 13, 169, 281, 3653, 47489.

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How to work it out

  1. 1

    What is special about 47489: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    47489 is composite. Its prime factorisation is

    47489=132Ɨ28147489 = 13^{2} \times 281
  3. 3

    The divisors add up to 51606; without 47489 itself that is 4117, so 47489 is deficient (4117 is less than 47489). Euler's totient φ(47489) = 43680 numbers up to 47489 share no factor with it.

  4. 4

    The digits of 47489 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47489 = 13^{2} \times 281 \]

47489 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors51606
Euler totient φ(n)43680
Square2255205121
Cube107097435991169
Square root217.919710 (= 13√281)
Digit sum / digital root32 / 5
Collatz steps to 1101
Scientific notation4.7489 Ɨ 10410^{4}

47489 in other forms

FormValue
In wordsforty-seven thousand four hundred and eighty-nine
Binary (base 2)1011100110000001
Octal (base 8)134601
Hexadecimal (base 16)B981
Base 32102010212
As time47489 seconds = 13 h 11 min 29 s

Is 47489 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47489 a prime number?

No. 47489 = 13213^{2} Ɨ 281, so it is divisible by 13.

What are the factors of 47489?

1, 13, 169, 281, 3653, 47489.

What is 47489 in binary?

1011100110000001 (hexadecimal B981, octal 134601).

What is the square root of 47489?

About 217.9197, exactly 13√281.

Is 47489 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 47489?

47489 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    47489: is it prime? Factors, square root, binary, Roman numeral | WordGPT