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The number 46841

46841 is a composite number with 4 divisors. Its prime factorisation is 31 × 1511. Divisors (4): 1, 31, 1511, 46841.

Number

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How to work it out

  1. 1

    What is special about 46841: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 1511, the product of two primes.

  2. 2

    46841 is composite. Its prime factorisation is

    46841=31×151146841 = 31 \times 1511
  3. 3

    The divisors add up to 48384; without 46841 itself that is 1543, so 46841 is deficient (1543 is less than 46841). Euler's totient φ(46841) = 45300 numbers up to 46841 share no factor with it.

  4. 4

    The digits of 46841 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
\[ 46841 = 31 \times 1511 \]

46841 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors48384
Euler totient φ(n)45300
Square2194079281
Cube102772867601321
Square root216.427817
Digit sum / digital root23 / 5
Collatz steps to 1176
Scientific notation4.6841 × 10410^{4}

46841 in other forms

FormValue
In wordsforty-six thousand eight hundred and forty-one
Binary (base 2)1011011011111001
Octal (base 8)133371
Hexadecimal (base 16)B6F9
Base 32101020212
As time46841 seconds = 13 h 0 min 41 s

Is 46841 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 4)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 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 46841 a prime number?

No. 46841 = 31 × 1511, so it is divisible by 31.

What are the factors of 46841?

1, 31, 1511, 46841.

What is 46841 in binary?

1011011011111001 (hexadecimal B6F9, octal 133371).

What is the square root of 46841?

About 216.4278.

Is 46841 divisible by 3?

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

What is special about the number 46841?

46841 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 1511, the product of two primes.

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