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The number 27379

27379 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 131. Divisors (8): 1, 11, 19, 131, 209, 1441, 2489, 27379.

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How to work it out

  1. 1

    What is special about 27379: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    27379 is composite. Its prime factorisation is

    27379=11×19×13127379 = 11 \times 19 \times 131
  3. 3

    The divisors add up to 31680; without 27379 itself that is 4301, so 27379 is deficient (4301 is less than 27379). Euler's totient φ(27379) = 23400 numbers up to 27379 share no factor with it.

  4. 4

    The digits of 27379 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27379 = 11 \times 19 \times 131 \]

27379 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors31680
Euler totient φ(n)23400
Square749609641
Cube20523562360939
Square root165.466009
Digit sum / digital root28 / 1
Collatz steps to 1152
Scientific notation2.7379 × 10410^{4}

27379 in other forms

FormValue
In wordstwenty-seven thousand three hundred and seventy-nine
Binary (base 2)110101011110011
Octal (base 8)65363
Hexadecimal (base 16)6AF3
Base 31101120001
As time27379 seconds = 7 h 36 min 19 s

Is 27379 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 1)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.
11Yes (27379 ÷ 11 = 2489)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27379 a prime number?

No. 27379 = 11 × 19 × 131, so it is divisible by 11.

What are the factors of 27379?

1, 11, 19, 131, 209, 1441, 2489, 27379.

What is 27379 in binary?

110101011110011 (hexadecimal 6AF3, octal 65363).

What is the square root of 27379?

About 165.4660.

Is 27379 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 27379?

27379 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    27379: is it prime? Factors, square root, binary, Roman numeral | WordGPT