λ
Prime Ledger

6,655,675

52 × 13 × 20479
Deficient Odd Composite

6,655,675 has the prime decomposition 5^2 × 13 × 20479. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 20479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,888,320
Proper Divisor Sum 2,232,645
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6655673 ← → #6655723

Radix Representation

Decimal 6655675
Binary 11001011000111010111011 (23 bits)
Octal 0o31307273
Hexadecimal 0x658EBB

Divisor Catalog (12)

1 5 13 25 65 325 20,479 102,395 266,227 511,975 1,331,135 6,655,675

Collatz Trajectory (165 steps to reach 1)

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

6,655,675 19,967,026 9,983,513 29,950,540 14,975,270 7,487,635 22,462,906 11,231,453 33,694,360 16,847,180 8,423,590 4,211,795 12,635,386 6,317,693 18,953,080 9,476,540 4,738,270 2,369,135 7,107,406 3,553,703 10,661,110 5,330,555 15,991,666 7,995,833 23,987,500 11,993,750 5,996,875 17,990,626 8,995,313 26,985,940 13,492,970 6,746,485 20,239,456 10,119,728 5,059,864 2,529,932 1,264,966 632,483 1,897,450 948,725 2,846,176 1,423,088 711,544 355,772 177,886 88,943 266,830 133,415 400,246 200,123 600,370 300,185 900,556 450,278 225,139 675,418 337,709 1,013,128 506,564 253,282

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