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The number 9662

9662 is a composite number with 4 divisors. Its prime factorisation is 2 × 4831. Divisors (4): 1, 2, 4831, 9662.

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How to work it out

  1. 1

    What is special about 9662: a semiprime: 2 × 4831, the product of two primes.

  2. 2

    9662 is composite. Its prime factorisation is

    9662=2×48319662 = 2 \times 4831
  3. 3

    The divisors add up to 14496; without 9662 itself that is 4834, so 9662 is deficient (4834 is less than 9662). Euler's totient φ(9662) = 4830 numbers up to 9662 share no factor with it.

  4. 4

    The digits of 9662 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9662 = 2 \times 4831 \]

9662 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14496
Euler totient φ(n)4830
Square93354244
Cube901988705528
Square root98.295473
Digit sum / digital root23 / 5
Collatz steps to 1122
Scientific notation9.662 × 10310^{3}

9662 in other forms

FormValue
In wordsnine thousand six hundred and sixty-two
Binary (base 2)10010110111110
Octal (base 8)22676
Hexadecimal (base 16)25BE
Base 3111020212
As time9662 seconds = 2 h 41 min 2 s

Is 9662 divisible by 2 to 12?

DivisorAnswerRule
2Yes (9662 ÷ 2 = 4831)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 2)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 5)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 4)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 9662 a prime number?

No. 9662 = 2 × 4831, so it is divisible by 2.

What are the factors of 9662?

1, 2, 4831, 9662.

What is 9662 in binary?

10010110111110 (hexadecimal 25BE, octal 22676).

What is the square root of 9662?

About 98.2955.

Is 9662 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 9662?

9662 is a semiprime: 2 × 4831, the product of two primes.

All about 9662

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