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The number 17069

17069 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 101. Divisors (6): 1, 13, 101, 169, 1313, 17069.

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How to work it out

  1. 1

    What is special about 17069: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    17069 is composite. Its prime factorisation is

    17069=132Ɨ10117069 = 13^{2} \times 101
  3. 3

    The divisors add up to 18666; without 17069 itself that is 1597, so 17069 is deficient (1597 is less than 17069). Euler's totient φ(17069) = 15600 numbers up to 17069 share no factor with it.

  4. 4

    The digits of 17069 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 128 steps to reach 1.

LaTeX source of the formulas on this page
\[ 17069 = 13^{2} \times 101 \]

17069 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors18666
Euler totient φ(n)15600
Square291350761
Cube4973066139509
Square root130.648383 (= 13√101)
Digit sum / digital root23 / 5
Collatz steps to 1128
Scientific notation1.7069 Ɨ 10410^{4}

17069 in other forms

FormValue
In wordsseventeen thousand and sixty-nine
Binary (base 2)100001010101101
Octal (base 8)41255
Hexadecimal (base 16)42AD
Base 3212102012
As time17069 seconds = 4 h 44 min 29 s

Is 17069 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 5)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 17069 a prime number?

No. 17069 = 13213^{2} Ɨ 101, so it is divisible by 13.

What are the factors of 17069?

1, 13, 101, 169, 1313, 17069.

What is 17069 in binary?

100001010101101 (hexadecimal 42AD, octal 41255).

What is the square root of 17069?

About 130.6484, exactly 13√101.

Is 17069 divisible by 3?

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

What is special about the number 17069?

17069 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    17069: is it prime? Factors, square root, binary, Roman numeral | WordGPT