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The number 11339

11339 is a composite number with 8 divisors. Its prime factorisation is 17 × 23 × 29. Divisors (8): 1, 17, 23, 29, 391, 493, 667, 11339.

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How to work it out

  1. 1

    What is special about 11339: a Harshad number: divisible by its digit sum 17.

  2. 2

    11339 is composite. Its prime factorisation is

    11339=17×23×2911339 = 17 \times 23 \times 29
  3. 3

    The divisors add up to 12960; without 11339 itself that is 1621, so 11339 is deficient (1621 is less than 11339). Euler's totient φ(11339) = 9856 numbers up to 11339 share no factor with it.

  4. 4

    The digits of 11339 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 130 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11339 = 17 \times 23 \times 29 \]

11339 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors12960
Euler totient φ(n)9856
Square128572921
Cube1457888351219
Square root106.484741
Digit sum / digital root17 / 8
Collatz steps to 1130
Scientific notation1.1339 × 10410^{4}

11339 in other forms

FormValue
In wordseleven thousand three hundred and thirty-nine
Binary (base 2)10110001001011
Octal (base 8)26113
Hexadecimal (base 16)2C4B
Base 3120112222
As time11339 seconds = 3 h 8 min 59 s

Is 11339 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 3)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 6)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 3)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 11339 a prime number?

No. 11339 = 17 × 23 × 29, so it is divisible by 17.

What are the factors of 11339?

1, 17, 23, 29, 391, 493, 667, 11339.

What is 11339 in binary?

10110001001011 (hexadecimal 2C4B, octal 26113).

What is the square root of 11339?

About 106.4847.

Is 11339 divisible by 3?

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

What is special about the number 11339?

11339 is a Harshad number: divisible by its digit sum 17.

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