12,831,729

3 × 41 × 104323

12,831,729 factors as 3 × 41 × 104323. Its 8 positive divisors give a proper-divisor sum of 4,694,703, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3 × 41 × 104323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 17,526,432

Proper Divisor Sum 4,694,703

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #12831701 ← → #12831739

Radix Representation

Decimal	12831729
Binary	110000111100101111110001 (24 bits)
Octal	0o60745761
Hexadecimal	0xC3CBF1

Divisor Catalog (8)

1 3 41 123 104,323 312,969 4,277,243 12,831,729

Collatz Trajectory (166 steps to reach 1)

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

12,831,729 38,495,188 19,247,594 9,623,797 28,871,392 14,435,696 7,217,848 3,608,924 1,804,462 902,231 2,706,694 1,353,347 4,060,042 2,030,021 6,090,064 3,045,032 1,522,516 761,258 380,629 1,141,888 570,944 285,472 142,736 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380

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