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The number 7642

7642 is a composite number with 4 divisors. Its prime factorisation is 2 × 3821. Divisors (4): 1, 2, 3821, 7642.

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How to work it out

  1. 1

    What is special about 7642: a semiprime: 2 × 3821, the product of two primes.

  2. 2

    7642 is composite. Its prime factorisation is

    7642=2×38217642 = 2 \times 3821
  3. 3

    The divisors add up to 11466; without 7642 itself that is 3824, so 7642 is deficient (3824 is less than 7642). Euler's totient φ(7642) = 3820 numbers up to 7642 share no factor with it.

  4. 4

    The digits of 7642 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7642 = 2 \times 3821 \]

7642 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors11466
Euler totient φ(n)3820
Square58400164
Cube446294053288
Square root87.418534
Digit sum / digital root19 / 1
Collatz steps to 131
Scientific notation7.642 × 10310^{3}

7642 in other forms

FormValue
In wordsseven thousand six hundred and forty-two
Binary (base 2)1110111011010
Octal (base 8)16732
Hexadecimal (base 16)1DDA
Base 3101111001
As time7642 seconds = 2 h 7 min 22 s

Is 7642 divisible by 2 to 12?

DivisorAnswerRule
2Yes (7642 ÷ 2 = 3821)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.
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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7642 a prime number?

No. 7642 = 2 × 3821, so it is divisible by 2.

What are the factors of 7642?

1, 2, 3821, 7642.

What is 7642 in binary?

1110111011010 (hexadecimal 1DDA, octal 16732).

What is the square root of 7642?

About 87.4185.

Is 7642 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 7642?

7642 is a semiprime: 2 × 3821, the product of two primes.

All about 7642

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