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The number 979

979 is a palindrome: it reads 979 backwards too. Its prime factorisation is 11 × 89. Divisors (4): 1, 11, 89, 979.

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How to work it out

  1. 1

    What is special about 979: a palindrome: it reads 979 backwards too; a semiprime: 11 × 89, the product of two primes.

  2. 2

    979 is composite. Its prime factorisation is

    979=11×89979 = 11 \times 89
  3. 3

    The divisors add up to 1080; without 979 itself that is 101, so 979 is deficient (101 is less than 979). Euler's totient φ(979) = 880 numbers up to 979 share no factor with it.

  4. 4

    The digits of 979 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 979 = 11 \times 89 \]

979 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1080
Euler totient φ(n)880
Square958441
Cube938313739
Square root31.288976
Digit sum / digital root25 / 7
Collatz steps to 149
Scientific notation9.79 × 10210^{2}

979 in other forms

FormValue
In wordsnine hundred and seventy-nine
Roman numeralsCMLXXIX
Binary (base 2)1111010011
Octal (base 8)1723
Hexadecimal (base 16)3D3
Base 31100021
As time979 seconds = 16 min 19 s

Is 979 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 6)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 7)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 (979 ÷ 11 = 89)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 979 a prime number?

No. 979 = 11 × 89, so it is divisible by 11.

What are the factors of 979?

1, 11, 89, 979.

What is 979 in binary?

1111010011 (hexadecimal 3D3, octal 1723).

What is the square root of 979?

About 31.2890.

What is 979 in Roman numerals?

CMLXXIX.

Is 979 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 979?

979 is a palindrome: it reads 979 backwards too; a semiprime: 11 × 89, the product of two primes.

All about 979

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