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The number 4791

4791 is a composite number with 4 divisors. Its prime factorisation is 3 × 1597. Divisors (4): 1, 3, 1597, 4791.

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How to work it out

  1. 1

    What is special about 4791: a semiprime: 3 × 1597, the product of two primes.

  2. 2

    4791 is composite. Its prime factorisation is

    4791=3×15974791 = 3 \times 1597
  3. 3

    The divisors add up to 6392; without 4791 itself that is 1601, so 4791 is deficient (1601 is less than 4791). Euler's totient φ(4791) = 3192 numbers up to 4791 share no factor with it.

  4. 4

    The digits of 4791 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.

LaTeX source of the formulas on this page
\[ 4791 = 3 \times 1597 \]

4791 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6392
Euler totient φ(n)3192
Square22953681
Cube109971085671
Square root69.217050
Digit sum / digital root21 / 3
Collatz steps to 133
Scientific notation4.791 × 10310^{3}

4791 in other forms

FormValue
In wordsfour thousand seven hundred and ninety-one
Binary (base 2)1001010110111
Octal (base 8)11267
Hexadecimal (base 16)12B7
Base 320120110
As time4791 seconds = 1 h 19 min 51 s

Is 4791 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 (4791 ÷ 3 = 1597)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 1)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 3)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 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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 4791 a prime number?

No. 4791 = 3 × 1597, so it is divisible by 3.

What are the factors of 4791?

1, 3, 1597, 4791.

What is 4791 in binary?

1001010110111 (hexadecimal 12B7, octal 11267).

What is the square root of 4791?

About 69.2170.

Is 4791 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 4791?

4791 is a semiprime: 3 × 1597, the product of two primes.

All about 4791

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