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The number 11609

11609 is a composite number with 8 divisors. Its prime factorisation is 13 × 19 × 47. Divisors (8): 1, 13, 19, 47, 247, 611, 893, 11609.

Number

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How to work it out

  1. 1

    11609 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    11609 is composite. Its prime factorisation is

    11609=13×19×4711609 = 13 \times 19 \times 47
  3. 3

    The divisors add up to 13440; without 11609 itself that is 1831, so 11609 is deficient (1831 is less than 11609). Euler's totient φ(11609) = 9936 numbers up to 11609 share no factor with it.

  4. 4

    The digits of 11609 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 143 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11609 = 13 \times 19 \times 47 \]

11609 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors13440
Euler totient φ(n)9936
Square134768881
Cube1564531939529
Square root107.745069
Digit sum / digital root17 / 8
Collatz steps to 1143
Scientific notation1.1609 × 10410^{4}

11609 in other forms

FormValue
In wordseleven thousand six hundred and nine
Binary (base 2)10110101011001
Octal (base 8)26531
Hexadecimal (base 16)2D59
Base 3120220222
As time11609 seconds = 3 h 13 min 29 s

Is 11609 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).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 1)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 9)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 11609 a prime number?

No. 11609 = 13 × 19 × 47, so it is divisible by 13.

What are the factors of 11609?

1, 13, 19, 47, 247, 611, 893, 11609.

What is 11609 in binary?

10110101011001 (hexadecimal 2D59, octal 26531).

What is the square root of 11609?

About 107.7451.

Is 11609 divisible by 3?

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

What is special about the number 11609?

It is a composite number with 8 divisors.

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    11609: is it prime? Factors, square root, binary, Roman numeral | WordGPT