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The number 71369

71369 is a composite number with 8 divisors. Its prime factorisation is 23 × 29 × 107. Divisors (8): 1, 23, 29, 107, 667, 2461, 3103, 71369.

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How to work it out

  1. 1

    What is special about 71369: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    71369 is composite. Its prime factorisation is

    71369=23×29×10771369 = 23 \times 29 \times 107
  3. 3

    The divisors add up to 77760; without 71369 itself that is 6391, so 71369 is deficient (6391 is less than 71369). Euler's totient φ(71369) = 65296 numbers up to 71369 share no factor with it.

  4. 4

    The digits of 71369 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71369 = 23 \times 29 \times 107 \]

71369 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors77760
Euler totient φ(n)65296
Square5093534161
Cube363520439536409
Square root267.149771
Digit sum / digital root26 / 8
Collatz steps to 1161
Scientific notation7.1369 × 10410^{4}

71369 in other forms

FormValue
In wordsseventy-one thousand three hundred and sixty-nine
Binary (base 2)10001011011001001
Octal (base 8)213311
Hexadecimal (base 16)116C9
Base 310121220022
As time71369 seconds = 19 h 49 min 29 s

Is 71369 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 4)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 1)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 71369 a prime number?

No. 71369 = 23 × 29 × 107, so it is divisible by 23.

What are the factors of 71369?

1, 23, 29, 107, 667, 2461, 3103, 71369.

What is 71369 in binary?

10001011011001001 (hexadecimal 116C9, octal 213311).

What is the square root of 71369?

About 267.1498.

Is 71369 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 71369?

71369 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    71369: is it prime? Factors, square root, binary, Roman numeral | WordGPT