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The number 48739

48739 is a composite number with 8 divisors. Its prime factorisation is 17 × 47 × 61. Divisors (8): 1, 17, 47, 61, 799, 1037, 2867, 48739.

Number

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How to work it out

  1. 1

    What is special about 48739: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    48739 is composite. Its prime factorisation is

    48739=17×47×6148739 = 17 \times 47 \times 61
  3. 3

    The divisors add up to 53568; without 48739 itself that is 4829, so 48739 is deficient (4829 is less than 48739). Euler's totient φ(48739) = 44160 numbers up to 48739 share no factor with it.

  4. 4

    The digits of 48739 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48739 = 17 \times 47 \times 61 \]

48739 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors53568
Euler totient φ(n)44160
Square2375490121
Cube115779013007419
Square root220.769110
Digit sum / digital root31 / 4
Collatz steps to 139
Scientific notation4.8739 × 10410^{4}

48739 in other forms

FormValue
In wordsforty-eight thousand seven hundred and thirty-nine
Binary (base 2)1011111001100011
Octal (base 8)137143
Hexadecimal (base 16)BE63
Base 32110212011
As time48739 seconds = 13 h 32 min 19 s

Is 48739 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 3)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.
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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48739 a prime number?

No. 48739 = 17 × 47 × 61, so it is divisible by 17.

What are the factors of 48739?

1, 17, 47, 61, 799, 1037, 2867, 48739.

What is 48739 in binary?

1011111001100011 (hexadecimal BE63, octal 137143).

What is the square root of 48739?

About 220.7691.

Is 48739 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 48739?

48739 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    48739: is it prime? Factors, square root, binary, Roman numeral | WordGPT