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The number 32979

32979 is a composite number with 4 divisors. Its prime factorisation is 3 × 10993. Divisors (4): 1, 3, 10993, 32979.

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How to work it out

  1. 1

    What is special about 32979: a semiprime: 3 × 10993, the product of two primes.

  2. 2

    32979 is composite. Its prime factorisation is

    32979=3×1099332979 = 3 \times 10993
  3. 3

    The divisors add up to 43976; without 32979 itself that is 10997, so 32979 is deficient (10997 is less than 32979). Euler's totient φ(32979) = 21984 numbers up to 32979 share no factor with it.

  4. 4

    The digits of 32979 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.

LaTeX source of the formulas on this page
\[ 32979 = 3 \times 10993 \]

32979 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors43976
Euler totient φ(n)21984
Square1087614441
Cube35868436649739
Square root181.601211
Digit sum / digital root30 / 3
Collatz steps to 1160
Scientific notation3.2979 × 10410^{4}

32979 in other forms

FormValue
In wordsthirty-two thousand nine hundred and seventy-nine
Binary (base 2)1000000011010011
Octal (base 8)100323
Hexadecimal (base 16)80D3
Base 31200020110
As time32979 seconds = 9 h 9 min 39 s

Is 32979 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 (32979 ÷ 3 = 10993)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 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 3)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 32979 a prime number?

No. 32979 = 3 × 10993, so it is divisible by 3.

What are the factors of 32979?

1, 3, 10993, 32979.

What is 32979 in binary?

1000000011010011 (hexadecimal 80D3, octal 100323).

What is the square root of 32979?

About 181.6012.

Is 32979 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 32979?

32979 is a semiprime: 3 × 10993, the product of two primes.

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