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The number 46983

46983 is a composite number with 4 divisors. Its prime factorisation is 3 × 15661. Divisors (4): 1, 3, 15661, 46983.

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How to work it out

  1. 1

    What is special about 46983: a semiprime: 3 × 15661, the product of two primes.

  2. 2

    46983 is composite. Its prime factorisation is

    46983=3×1566146983 = 3 \times 15661
  3. 3

    The divisors add up to 62648; without 46983 itself that is 15665, so 46983 is deficient (15665 is less than 46983). Euler's totient φ(46983) = 31320 numbers up to 46983 share no factor with it.

  4. 4

    The digits of 46983 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46983 = 3 \times 15661 \]

46983 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors62648
Euler totient φ(n)31320
Square2207402289
Cube103710381744087
Square root216.755623
Digit sum / digital root30 / 3
Collatz steps to 183
Scientific notation4.6983 × 10410^{4}

46983 in other forms

FormValue
In wordsforty-six thousand nine hundred and eighty-three
Binary (base 2)1011011110000111
Octal (base 8)133607
Hexadecimal (base 16)B787
Base 32101110010
As time46983 seconds = 13 h 3 min 3 s

Is 46983 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).
3Yes (46983 ÷ 3 = 15661)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46983 a prime number?

No. 46983 = 3 × 15661, so it is divisible by 3.

What are the factors of 46983?

1, 3, 15661, 46983.

What is 46983 in binary?

1011011110000111 (hexadecimal B787, octal 133607).

What is the square root of 46983?

About 216.7556.

Is 46983 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 46983?

46983 is a semiprime: 3 × 15661, the product of two primes.

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