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The number 47667

47667 is a composite number with 4 divisors. Its prime factorisation is 3 × 15889. Divisors (4): 1, 3, 15889, 47667.

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How to work it out

  1. 1

    What is special about 47667: a semiprime: 3 × 15889, the product of two primes.

  2. 2

    47667 is composite. Its prime factorisation is

    47667=3×1588947667 = 3 \times 15889
  3. 3

    The divisors add up to 63560; without 47667 itself that is 15893, so 47667 is deficient (15893 is less than 47667). Euler's totient φ(47667) = 31776 numbers up to 47667 share no factor with it.

  4. 4

    The digits of 47667 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 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47667 = 3 \times 15889 \]

47667 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors63560
Euler totient φ(n)31776
Square2272142889
Cube108306235089963
Square root218.327735
Digit sum / digital root30 / 3
Collatz steps to 1101
Scientific notation4.7667 × 10410^{4}

47667 in other forms

FormValue
In wordsforty-seven thousand six hundred and sixty-seven
Binary (base 2)1011101000110011
Octal (base 8)135063
Hexadecimal (base 16)BA33
Base 32102101110
As time47667 seconds = 13 h 14 min 27 s

Is 47667 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 (47667 ÷ 3 = 15889)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 2)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 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 3)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 47667 a prime number?

No. 47667 = 3 × 15889, so it is divisible by 3.

What are the factors of 47667?

1, 3, 15889, 47667.

What is 47667 in binary?

1011101000110011 (hexadecimal BA33, octal 135063).

What is the square root of 47667?

About 218.3277.

Is 47667 divisible by 3?

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

What is special about the number 47667?

47667 is a semiprime: 3 × 15889, the product of two primes.

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