6,984,094

2 × 13² × 20663

6,984,094 factors as 2 × 13^2 × 20663. Its 12 positive divisors give a proper-divisor sum of 4,360,442, so this integer is deficient. The Collatz stopping time is 328 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 20663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,344,536

Proper Divisor Sum 4,360,442

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6984079 ← → #6984101

Radix Representation

Decimal	6984094
Binary	11010101001000110011110 (23 bits)
Octal	0o32510636
Hexadecimal	0x6A919E

Divisor Catalog (12)

1 2 13 26 169 338 20,663 41,326 268,619 537,238 3,492,047 6,984,094

Collatz Trajectory (328 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,984,094 3,492,047 10,476,142 5,238,071 15,714,214 7,857,107 23,571,322 11,785,661 35,356,984 17,678,492 8,839,246 4,419,623 13,258,870 6,629,435 19,888,306 9,944,153 29,832,460 14,916,230 7,458,115 22,374,346 11,187,173 33,561,520 16,780,760 8,390,380 4,195,190 2,097,595 6,292,786 3,146,393 9,439,180 4,719,590 2,359,795 7,079,386 3,539,693 10,619,080 5,309,540 2,654,770 1,327,385 3,982,156 1,991,078 995,539 2,986,618 1,493,309 4,479,928 2,239,964 1,119,982 559,991 1,679,974 839,987 2,519,962 1,259,981 3,779,944 1,889,972 944,986 472,493 1,417,480 708,740 354,370 177,185 531,556 265,778

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