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The number 48335

48335 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 1381. Divisors (8): 1, 5, 7, 35, 1381, 6905, 9667, 48335.

Number

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How to work it out

  1. 1

    48335 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    48335 is composite. Its prime factorisation is

    48335=5×7×138148335 = 5 \times 7 \times 1381
  3. 3

    The divisors add up to 66336; without 48335 itself that is 18001, so 48335 is deficient (18001 is less than 48335). Euler's totient φ(48335) = 33120 numbers up to 48335 share no factor with it.

  4. 4

    The digits of 48335 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48335 = 5 \times 7 \times 1381 \]

48335 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors66336
Euler totient φ(n)33120
Square2336272225
Cube112923717995375
Square root219.852223
Digit sum / digital root23 / 5
Collatz steps to 1145
Scientific notation4.8335 × 10410^{4}

48335 in other forms

FormValue
In wordsforty-eight thousand three hundred and thirty-five
Binary (base 2)1011110011001111
Octal (base 8)136317
Hexadecimal (base 16)BCCF
Base 32110022012
As time48335 seconds = 13 h 25 min 35 s

Is 48335 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.
5Yes (48335 ÷ 5 = 9667)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.
7Yes (48335 ÷ 7 = 6905)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)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 48335 a prime number?

No. 48335 = 5 × 7 × 1381, so it is divisible by 5.

What are the factors of 48335?

1, 5, 7, 35, 1381, 6905, 9667, 48335.

What is 48335 in binary?

1011110011001111 (hexadecimal BCCF, octal 136317).

What is the square root of 48335?

About 219.8522.

Is 48335 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 48335?

It is a composite number with 8 divisors.

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    48335: is it prime? Factors, square root, binary, Roman numeral | WordGPT