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The number 48361

48361 is a composite number with 4 divisors. Its prime factorisation is 137 × 353. Divisors (4): 1, 137, 353, 48361.

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How to work it out

  1. 1

    What is special about 48361: a semiprime: 137 × 353, the product of two primes.

  2. 2

    48361 is composite. Its prime factorisation is

    48361=137×35348361 = 137 \times 353
  3. 3

    The divisors add up to 48852; without 48361 itself that is 491, so 48361 is deficient (491 is less than 48361). Euler's totient φ(48361) = 47872 numbers up to 48361 share no factor with it.

  4. 4

    The digits of 48361 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48361 = 137 \times 353 \]

48361 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors48852
Euler totient φ(n)47872
Square2338786321
Cube113106045269881
Square root219.911346
Digit sum / digital root22 / 4
Collatz steps to 1189
Scientific notation4.8361 × 10410^{4}

48361 in other forms

FormValue
In wordsforty-eight thousand three hundred and sixty-one
Binary (base 2)1011110011101001
Octal (base 8)136351
Hexadecimal (base 16)BCE9
Base 32110100011
As time48361 seconds = 13 h 26 min 1 s

Is 48361 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 1)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 1)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 48361 a prime number?

No. 48361 = 137 × 353, so it is divisible by 137.

What are the factors of 48361?

1, 137, 353, 48361.

What is 48361 in binary?

1011110011101001 (hexadecimal BCE9, octal 136351).

What is the square root of 48361?

About 219.9113.

Is 48361 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 48361?

48361 is a semiprime: 137 × 353, the product of two primes.

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