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The number 1179

1179 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 131. Divisors (6): 1, 3, 9, 131, 393, 1179.

Number

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How to work it out

  1. 1

    1179 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    1179 is composite. Its prime factorisation is

    1179=32×1311179 = 3^{2} \times 131
  3. 3

    The divisors add up to 1716; without 1179 itself that is 537, so 1179 is deficient (537 is less than 1179). Euler's totient φ(1179) = 780 numbers up to 1179 share no factor with it.

  4. 4

    The digits of 1179 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1179 = 3^{2} \times 131 \]

1179 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors1716
Euler totient φ(n)780
Square1390041
Cube1638858339
Square root34.336569 (= 3√131)
Digit sum / digital root18 / 9
Collatz steps to 157
Scientific notation1.179 × 10310^{3}

1179 in other forms

FormValue
In wordsone thousand one hundred and seventy-nine
Roman numeralsMCLXXIX
Binary (base 2)10010011011
Octal (base 8)2233
Hexadecimal (base 16)49B
Base 31121200
As time1179 seconds = 19 min 39 s

Is 1179 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).
3Yes (1179 ÷ 3 = 393)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 3)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (1179 ÷ 9 = 131)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 1179 a prime number?

No. 1179 = 323^{2} × 131, so it is divisible by 3.

What are the factors of 1179?

1, 3, 9, 131, 393, 1179.

What is 1179 in binary?

10010011011 (hexadecimal 49B, octal 2233).

What is the square root of 1179?

About 34.3366, exactly 3√131.

What is 1179 in Roman numerals?

MCLXXIX.

Is 1179 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 1179?

It is a composite number with 6 divisors.

All about 1179

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    1179: is it prime? Factors, square root, binary, Roman numeral | WordGPT