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The number 11017

11017 is a composite number with 4 divisors. Its prime factorisation is 23 × 479. Divisors (4): 1, 23, 479, 11017.

Number

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How to work it out

  1. 1

    What is special about 11017: a semiprime: 23 × 479, the product of two primes.

  2. 2

    11017 is composite. Its prime factorisation is

    11017=23×47911017 = 23 \times 479
  3. 3

    The divisors add up to 11520; without 11017 itself that is 503, so 11017 is deficient (503 is less than 11017). Euler's totient φ(11017) = 10516 numbers up to 11017 share no factor with it.

  4. 4

    The digits of 11017 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11017 = 23 \times 479 \]

11017 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors11520
Euler totient φ(n)10516
Square121374289
Cube1337180541913
Square root104.961898
Digit sum / digital root10 / 1
Collatz steps to 1161
Scientific notation1.1017 × 10410^{4}

11017 in other forms

FormValue
In wordseleven thousand and seventeen
Binary (base 2)10101100001001
Octal (base 8)25411
Hexadecimal (base 16)2B09
Base 3120010001
As time11017 seconds = 3 h 3 min 37 s

Is 11017 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 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 1)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 11017 a prime number?

No. 11017 = 23 × 479, so it is divisible by 23.

What are the factors of 11017?

1, 23, 479, 11017.

What is 11017 in binary?

10101100001001 (hexadecimal 2B09, octal 25411).

What is the square root of 11017?

About 104.9619.

Is 11017 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 11017?

11017 is a semiprime: 23 × 479, the product of two primes.

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    11017: is it prime? Factors, square root, binary, Roman numeral | WordGPT