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The number 879

879 is a composite number with 4 divisors. Its prime factorisation is 3 × 293. Divisors (4): 1, 3, 293, 879.

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How to work it out

  1. 1

    What is special about 879: a semiprime: 3 × 293, the product of two primes.

  2. 2

    879 is composite. Its prime factorisation is

    879=3×293879 = 3 \times 293
  3. 3

    The divisors add up to 1176; without 879 itself that is 297, so 879 is deficient (297 is less than 879). Euler's totient φ(879) = 584 numbers up to 879 share no factor with it.

  4. 4

    The digits of 879 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 879 = 3 \times 293 \]

879 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1176
Euler totient φ(n)584
Square772641
Cube679151439
Square root29.647934
Digit sum / digital root24 / 6
Collatz steps to 1147
Scientific notation8.79 × 10210^{2}

879 in other forms

FormValue
In wordseight hundred and seventy-nine
Roman numeralsDCCCLXXIX
Binary (base 2)1101101111
Octal (base 8)1557
Hexadecimal (base 16)36F
Base 31012120
As time879 seconds = 14 min 39 s

Is 879 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 (879 ÷ 3 = 293)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 10)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 879 a prime number?

No. 879 = 3 × 293, so it is divisible by 3.

What are the factors of 879?

1, 3, 293, 879.

What is 879 in binary?

1101101111 (hexadecimal 36F, octal 1557).

What is the square root of 879?

About 29.6479.

What is 879 in Roman numerals?

DCCCLXXIX.

Is 879 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 879?

879 is a semiprime: 3 × 293, the product of two primes.

All about 879

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