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The number 4742

4742 is a composite number with 4 divisors. Its prime factorisation is 2 × 2371. Divisors (4): 1, 2, 2371, 4742.

Number

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How to work it out

  1. 1

    What is special about 4742: a semiprime: 2 × 2371, the product of two primes.

  2. 2

    4742 is composite. Its prime factorisation is

    4742=2×23714742 = 2 \times 2371
  3. 3

    The divisors add up to 7116; without 4742 itself that is 2374, so 4742 is deficient (2374 is less than 4742). Euler's totient φ(4742) = 2370 numbers up to 4742 share no factor with it.

  4. 4

    The digits of 4742 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.

LaTeX source of the formulas on this page
\[ 4742 = 2 \times 2371 \]

4742 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors7116
Euler totient φ(n)2370
Square22486564
Cube106631286488
Square root68.862181
Digit sum / digital root17 / 8
Collatz steps to 1152
Scientific notation4.742 × 10310^{3}

4742 in other forms

FormValue
In wordsfour thousand seven hundred and forty-two
Binary (base 2)1001010000110
Octal (base 8)11206
Hexadecimal (base 16)1286
Base 320111122
As time4742 seconds = 1 h 19 min 2 s

Is 4742 divisible by 2 to 12?

DivisorAnswerRule
2Yes (4742 ÷ 2 = 2371)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 2)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 2)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 4742 a prime number?

No. 4742 = 2 × 2371, so it is divisible by 2.

What are the factors of 4742?

1, 2, 2371, 4742.

What is 4742 in binary?

1001010000110 (hexadecimal 1286, octal 11206).

What is the square root of 4742?

About 68.8622.

Is 4742 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 4742?

4742 is a semiprime: 2 × 2371, the product of two primes.

All about 4742

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