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The number 9698

9698 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 373. Divisors (8): 1, 2, 13, 26, 373, 746, 4849, 9698.

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How to work it out

  1. 1

    What is special about 9698: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    9698 is composite. Its prime factorisation is

    9698=2×13×3739698 = 2 \times 13 \times 373
  3. 3

    The divisors add up to 15708; without 9698 itself that is 6010, so 9698 is deficient (6010 is less than 9698). Euler's totient φ(9698) = 4464 numbers up to 9698 share no factor with it.

  4. 4

    The digits of 9698 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9698 = 2 \times 13 \times 373 \]

9698 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors15708
Euler totient φ(n)4464
Square94051204
Cube912108576392
Square root98.478424
Digit sum / digital root32 / 5
Collatz steps to 121
Scientific notation9.698 × 10310^{3}

9698 in other forms

FormValue
In wordsnine thousand six hundred and ninety-eight
Binary (base 2)10010111100010
Octal (base 8)22742
Hexadecimal (base 16)25E2
Base 3111022012
As time9698 seconds = 2 h 41 min 38 s

Is 9698 divisible by 2 to 12?

DivisorAnswerRule
2Yes (9698 ÷ 2 = 4849)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 3)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 2)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 9698 a prime number?

No. 9698 = 2 × 13 × 373, so it is divisible by 2.

What are the factors of 9698?

1, 2, 13, 26, 373, 746, 4849, 9698.

What is 9698 in binary?

10010111100010 (hexadecimal 25E2, octal 22742).

What is the square root of 9698?

About 98.4784.

Is 9698 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 9698?

9698 is a happy number: repeatedly adding the squares of its digits reaches 1.

All about 9698

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    9698: is it prime? Factors, square root, binary, Roman numeral | WordGPT