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The number 98979

98979 is a composite number with 4 divisors. Its prime factorisation is 3 × 32993. Divisors (4): 1, 3, 32993, 98979.

Number

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How to work it out

  1. 1

    What is special about 98979: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 32993, the product of two primes.

  2. 2

    98979 is composite. Its prime factorisation is

    98979=3×3299398979 = 3 \times 32993
  3. 3

    The divisors add up to 131976; without 98979 itself that is 32997, so 98979 is deficient (32997 is less than 98979). Euler's totient φ(98979) = 65984 numbers up to 98979 share no factor with it.

  4. 4

    The digits of 98979 add up to 42, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98979 = 3 \times 32993 \]

98979 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors131976
Euler totient φ(n)65984
Square9796842441
Cube969681667967739
Square root314.609281
Digit sum / digital root42 / 6
Collatz steps to 197
Scientific notation9.8979 × 10410^{4}

98979 in other forms

FormValue
In wordsninety-eight thousand nine hundred and seventy-nine
Binary (base 2)11000001010100011
Octal (base 8)301243
Hexadecimal (base 16)182A3
Base 312000202220
As time98979 seconds = 27 h 29 min 39 s

Is 98979 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 (98979 ÷ 3 = 32993)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 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 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 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 98979 a prime number?

No. 98979 = 3 × 32993, so it is divisible by 3.

What are the factors of 98979?

1, 3, 32993, 98979.

What is 98979 in binary?

11000001010100011 (hexadecimal 182A3, octal 301243).

What is the square root of 98979?

About 314.6093.

Is 98979 divisible by 3?

Yes. Its digits add up to 42, a multiple of 3.

What is special about the number 98979?

98979 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 32993, the product of two primes.

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