12,731,632

2⁴ × 795727

12,731,632 factors as 2^4 × 795727. Its 10 positive divisors give a proper-divisor sum of 11,935,936, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^4 × 795727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 24,667,568

Proper Divisor Sum 11,935,936

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #12731629 ← → #12731633

Radix Representation

Decimal	12731632
Binary	110000100100010011110000 (24 bits)
Octal	0o60442360
Hexadecimal	0xC244F0

Divisor Catalog (10)

1 2 4 8 16 795,727 1,591,454 3,182,908 6,365,816 12,731,632

Collatz Trajectory (104 steps to reach 1)

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

12,731,632 6,365,816 3,182,908 1,591,454 795,727 2,387,182 1,193,591 3,580,774 1,790,387 5,371,162 2,685,581 8,056,744 4,028,372 2,014,186 1,007,093 3,021,280 1,510,640 755,320 377,660 188,830 94,415 283,246 141,623 424,870 212,435 637,306 318,653 955,960 477,980 238,990 119,495 358,486 179,243 537,730 268,865 806,596 403,298 201,649 604,948 302,474 151,237 453,712 226,856 113,428 56,714 28,357 85,072 42,536 21,268 10,634 5,317 15,952 7,976 3,988 1,994 997 2,992 1,496 748 374

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