12,821,650

2 × 5² × 347 × 739

12,821,650 factors as 2 × 5^2 × 347 × 739. Its 24 positive divisors give a proper-divisor sum of 11,127,710, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 347 × 739

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,949,360

Proper Divisor Sum 11,127,710

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #12821629 ← → #12821659

Radix Representation

Decimal	12821650
Binary	110000111010010010010010 (24 bits)
Octal	0o60722222
Hexadecimal	0xC3A492

Divisor Catalog (24)

Collatz Trajectory (241 steps to reach 1)

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

12,821,650 6,410,825 19,232,476 9,616,238 4,808,119 14,424,358 7,212,179 21,636,538 10,818,269 32,454,808 16,227,404 8,113,702 4,056,851 12,170,554 6,085,277 18,255,832 9,127,916 4,563,958 2,281,979 6,845,938 3,422,969 10,268,908 5,134,454 2,567,227 7,701,682 3,850,841 11,552,524 5,776,262 2,888,131 8,664,394 4,332,197 12,996,592 6,498,296 3,249,148 1,624,574 812,287 2,436,862 1,218,431 3,655,294 1,827,647 5,482,942 2,741,471 8,224,414 4,112,207 12,336,622 6,168,311 18,504,934 9,252,467 27,757,402 13,878,701 41,636,104 20,818,052 10,409,026 5,204,513 15,613,540 7,806,770 3,903,385 11,710,156 5,855,078 2,927,539

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