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The number 48509

48509 is a composite number with 4 divisors. Its prime factorisation is 179 × 271. Divisors (4): 1, 179, 271, 48509.

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How to work it out

  1. 1

    What is special about 48509: a semiprime: 179 × 271, the product of two primes.

  2. 2

    48509 is composite. Its prime factorisation is

    48509=179×27148509 = 179 \times 271
  3. 3

    The divisors add up to 48960; without 48509 itself that is 451, so 48509 is deficient (451 is less than 48509). Euler's totient φ(48509) = 48060 numbers up to 48509 share no factor with it.

  4. 4

    The digits of 48509 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48509 = 179 \times 271 \]

48509 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors48960
Euler totient φ(n)48060
Square2353123081
Cube114147647536229
Square root220.247588
Digit sum / digital root26 / 8
Collatz steps to 1145
Scientific notation4.8509 × 10410^{4}

48509 in other forms

FormValue
In wordsforty-eight thousand five hundred and nine
Binary (base 2)1011110101111101
Octal (base 8)136575
Hexadecimal (base 16)BD7D
Base 32110112122
As time48509 seconds = 13 h 28 min 29 s

Is 48509 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 6)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 8)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 10)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 48509 a prime number?

No. 48509 = 179 × 271, so it is divisible by 179.

What are the factors of 48509?

1, 179, 271, 48509.

What is 48509 in binary?

1011110101111101 (hexadecimal BD7D, octal 136575).

What is the square root of 48509?

About 220.2476.

Is 48509 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 48509?

48509 is a semiprime: 179 × 271, the product of two primes.

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    48509: is it prime? Factors, square root, binary, Roman numeral | WordGPT