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The number 46325

46325 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 17 × 109. Divisors (12): 1, 5, 17, 25, 85, 109, 425, 545, 1853, 2725, 9265, 46325.

Number

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How to work it out

  1. 1

    46325 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

    46325 is composite. Its prime factorisation is

    46325=52×17×10946325 = 5^{2} \times 17 \times 109
  3. 3

    The divisors add up to 61380; without 46325 itself that is 15055, so 46325 is deficient (15055 is less than 46325). Euler's totient φ(46325) = 34560 numbers up to 46325 share no factor with it.

  4. 4

    The digits of 46325 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46325 = 5^{2} \times 17 \times 109 \]

46325 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors61380
Euler totient φ(n)34560
Square2146005625
Cube99413710578125
Square root215.232433 (= 5√1853)
Digit sum / digital root20 / 2
Collatz steps to 157
Scientific notation4.6325 × 10410^{4}

46325 in other forms

FormValue
In wordsforty-six thousand three hundred and twenty-five
Binary (base 2)1011010011110101
Octal (base 8)132365
Hexadecimal (base 16)B4F5
Base 32100112202
As time46325 seconds = 12 h 52 min 5 s

Is 46325 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 (46325 ÷ 5 = 9265)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 2)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 4)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 46325 a prime number?

No. 46325 = 525^{2} × 17 × 109, so it is divisible by 5.

What are the factors of 46325?

1, 5, 17, 25, 85, 109, 425, 545, 1853, 2725, 9265, 46325.

What is 46325 in binary?

1011010011110101 (hexadecimal B4F5, octal 132365).

What is the square root of 46325?

About 215.2324, exactly 5√1853.

Is 46325 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 46325?

It is a composite number with 12 divisors.

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    46325: is it prime? Factors, square root, binary, Roman numeral | WordGPT