6,831,612

2² × 3² × 189767

6,831,612 factors as 2^2 × 3^2 × 189767. Its 18 positive divisors give a proper-divisor sum of 10,437,276, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 189767

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 17,268,888

Proper Divisor Sum 10,437,276

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6831611 ← → #6831631

Radix Representation

Decimal	6831612
Binary	11010000011110111111100 (23 bits)
Octal	0o32036774
Hexadecimal	0x683DFC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 189,767 379,534 569,301 759,068 1,138,602 1,707,903 2,277,204 3,415,806 6,831,612

Collatz Trajectory (209 steps to reach 1)

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

6,831,612 3,415,806 1,707,903 5,123,710 2,561,855 7,685,566 3,842,783 11,528,350 5,764,175 17,292,526 8,646,263 25,938,790 12,969,395 38,908,186 19,454,093 58,362,280 29,181,140 14,590,570 7,295,285 21,885,856 10,942,928 5,471,464 2,735,732 1,367,866 683,933 2,051,800 1,025,900 512,950 256,475 769,426 384,713 1,154,140 577,070 288,535 865,606 432,803 1,298,410 649,205 1,947,616 973,808 486,904 243,452 121,726 60,863 182,590 91,295 273,886 136,943 410,830 205,415 616,246 308,123 924,370 462,185 1,386,556 693,278 346,639 1,039,918 519,959 1,559,878

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