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The number 46825

46825 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1873. Divisors (6): 1, 5, 25, 1873, 9365, 46825.

Number

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How to work it out

  1. 1

    What is special about 46825: a Harshad number: divisible by its digit sum 25.

  2. 2

    46825 is composite. Its prime factorisation is

    46825=52Ɨ187346825 = 5^{2} \times 1873
  3. 3

    The divisors add up to 58094; without 46825 itself that is 11269, so 46825 is deficient (11269 is less than 46825). Euler's totient φ(46825) = 37440 numbers up to 46825 share no factor with it.

  4. 4

    The digits of 46825 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46825 = 5^{2} \times 1873 \]

46825 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors58094
Euler totient φ(n)37440
Square2192580625
Cube102667587765625
Square root216.390850 (= 5√1873)
Digit sum / digital root25 / 7
Collatz steps to 1145
Scientific notation4.6825 Ɨ 10410^{4}

46825 in other forms

FormValue
In wordsforty-six thousand eight hundred and twenty-five
Binary (base 2)1011011011101001
Octal (base 8)133351
Hexadecimal (base 16)B6E9
Base 32101020021
As time46825 seconds = 13 h 0 min 25 s

Is 46825 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.
5Yes (46825 Ć· 5 = 9365)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 2)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 7)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 9)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 46825 a prime number?

No. 46825 = 525^{2} Ɨ 1873, so it is divisible by 5.

What are the factors of 46825?

1, 5, 25, 1873, 9365, 46825.

What is 46825 in binary?

1011011011101001 (hexadecimal B6E9, octal 133351).

What is the square root of 46825?

About 216.3909, exactly 5√1873.

Is 46825 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 46825?

46825 is a Harshad number: divisible by its digit sum 25.

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    46825: is it prime? Factors, square root, binary, Roman numeral | WordGPT