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The number 46625

46625 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 373. Divisors (8): 1, 5, 25, 125, 373, 1865, 9325, 46625.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    46625 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

    46625 is composite. Its prime factorisation is

    46625=53Ɨ37346625 = 5^{3} \times 373
  3. 3

    The divisors add up to 58344; without 46625 itself that is 11719, so 46625 is deficient (11719 is less than 46625). Euler's totient φ(46625) = 37200 numbers up to 46625 share no factor with it.

  4. 4

    The digits of 46625 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 176 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46625 = 5^{3} \times 373 \]

46625 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors58344
Euler totient φ(n)37200
Square2173890625
Cube101357650390625
Square root215.928229 (= 5√1865)
Digit sum / digital root23 / 5
Collatz steps to 1176
Scientific notation4.6625 Ɨ 10410^{4}

46625 in other forms

FormValue
In wordsforty-six thousand six hundred and twenty-five
Binary (base 2)1011011000100001
Octal (base 8)133041
Hexadecimal (base 16)B621
Base 32100221212
As time46625 seconds = 12 h 57 min 5 s

Is 46625 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 (46625 Ć· 5 = 9325)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 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 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 7)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 46625 a prime number?

No. 46625 = 535^{3} Ɨ 373, so it is divisible by 5.

What are the factors of 46625?

1, 5, 25, 125, 373, 1865, 9325, 46625.

What is 46625 in binary?

1011011000100001 (hexadecimal B621, octal 133041).

What is the square root of 46625?

About 215.9282, exactly 5√1865.

Is 46625 divisible by 3?

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

What is special about the number 46625?

It is a composite number with 8 divisors.

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    46625: is it prime? Factors, square root, binary, Roman numeral | WordGPT