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The number 46481

46481 is a composite number with 4 divisors. Its prime factorisation is 53 × 877. Divisors (4): 1, 53, 877, 46481.

Number

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How to work it out

  1. 1

    What is special about 46481: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 877, the product of two primes.

  2. 2

    46481 is composite. Its prime factorisation is

    46481=53×87746481 = 53 \times 877
  3. 3

    The divisors add up to 47412; without 46481 itself that is 931, so 46481 is deficient (931 is less than 46481). Euler's totient φ(46481) = 45552 numbers up to 46481 share no factor with it.

  4. 4

    The digits of 46481 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
\[ 46481 = 53 \times 877 \]

46481 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors47412
Euler totient φ(n)45552
Square2160483361
Cube100421427102641
Square root215.594527
Digit sum / digital root23 / 5
Collatz steps to 1145
Scientific notation4.6481 × 10410^{4}

46481 in other forms

FormValue
In wordsforty-six thousand four hundred and eighty-one
Binary (base 2)1011010110010001
Octal (base 8)132621
Hexadecimal (base 16)B591
Base 32100202112
As time46481 seconds = 12 h 54 min 41 s

Is 46481 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.
5No (remainder 1)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 1)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 46481 a prime number?

No. 46481 = 53 × 877, so it is divisible by 53.

What are the factors of 46481?

1, 53, 877, 46481.

What is 46481 in binary?

1011010110010001 (hexadecimal B591, octal 132621).

What is the square root of 46481?

About 215.5945.

Is 46481 divisible by 3?

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

What is special about the number 46481?

46481 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 877, the product of two primes.

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