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The number 46876

46876 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 11719. Divisors (6): 1, 2, 4, 11719, 23438, 46876.

Number

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How to work it out

  1. 1

    46876 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

    46876 is composite. Its prime factorisation is

    46876=22×1171946876 = 2^{2} \times 11719
  3. 3

    The divisors add up to 82040; without 46876 itself that is 35164, so 46876 is deficient (35164 is less than 46876). Euler's totient φ(46876) = 23436 numbers up to 46876 share no factor with it.

  4. 4

    The digits of 46876 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46876 = 2^{2} \times 11719 \]

46876 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors82040
Euler totient φ(n)23436
Square2197359376
Cube103003418109376
Square root216.508660 (= 2√11719)
Digit sum / digital root31 / 4
Collatz steps to 1145
Scientific notation4.6876 × 10410^{4}

46876 in other forms

FormValue
In wordsforty-six thousand eight hundred and seventy-six
Binary (base 2)1011011100011100
Octal (base 8)133434
Hexadecimal (base 16)B71C
Base 32101022011
As time46876 seconds = 13 h 1 min 16 s

Is 46876 divisible by 2 to 12?

DivisorAnswerRule
2Yes (46876 ÷ 2 = 23438)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.
4Yes (46876 ÷ 4 = 11719)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 4)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46876 a prime number?

No. 46876 = 222^{2} × 11719, so it is divisible by 2.

What are the factors of 46876?

1, 2, 4, 11719, 23438, 46876.

What is 46876 in binary?

1011011100011100 (hexadecimal B71C, octal 133434).

What is the square root of 46876?

About 216.5087, exactly 2√11719.

Is 46876 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 46876?

It is a composite number with 6 divisors.

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