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The number 48425

48425 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 13 × 149. Divisors (12): 1, 5, 13, 25, 65, 149, 325, 745, 1937, 3725, 9685, 48425.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    48425 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

    48425 is composite. Its prime factorisation is

    48425=52×13×14948425 = 5^{2} \times 13 \times 149
  3. 3

    The divisors add up to 65100; without 48425 itself that is 16675, so 48425 is deficient (16675 is less than 48425). Euler's totient φ(48425) = 35520 numbers up to 48425 share no factor with it.

  4. 4

    The digits of 48425 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 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48425 = 5^{2} \times 13 \times 149 \]

48425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors65100
Euler totient φ(n)35520
Square2344980625
Cube113555686765625
Square root220.056811 (= 5√1937)
Digit sum / digital root23 / 5
Collatz steps to 1101
Scientific notation4.8425 × 10410^{4}

48425 in other forms

FormValue
In wordsforty-eight thousand four hundred and twenty-five
Binary (base 2)1011110100101001
Octal (base 8)136451
Hexadecimal (base 16)BD29
Base 32110102112
As time48425 seconds = 13 h 27 min 5 s

Is 48425 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.
5Yes (48425 ÷ 5 = 9685)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 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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 48425 a prime number?

No. 48425 = 525^{2} × 13 × 149, so it is divisible by 5.

What are the factors of 48425?

1, 5, 13, 25, 65, 149, 325, 745, 1937, 3725, 9685, 48425.

What is 48425 in binary?

1011110100101001 (hexadecimal BD29, octal 136451).

What is the square root of 48425?

About 220.0568, exactly 5√1937.

Is 48425 divisible by 3?

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

What is special about the number 48425?

It is a composite number with 12 divisors.

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    48425: is it prime? Factors, square root, binary, Roman numeral | WordGPT