6,448,975

5² × 13 × 19843

6,448,975 factors as 5^2 × 13 × 19843. Its 12 positive divisors give a proper-divisor sum of 2,163,321, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 19843

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,612,296

Proper Divisor Sum 2,163,321

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6448973 ← → #6448979

Radix Representation

Decimal	6448975
Binary	11000100110011101001111 (23 bits)
Octal	0o30463517
Hexadecimal	0x62674F

Divisor Catalog (12)

1 5 13 25 65 325 19,843 99,215 257,959 496,075 1,289,795 6,448,975

Collatz Trajectory (196 steps to reach 1)

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

6,448,975 19,346,926 9,673,463 29,020,390 14,510,195 43,530,586 21,765,293 65,295,880 32,647,940 16,323,970 8,161,985 24,485,956 12,242,978 6,121,489 18,364,468 9,182,234 4,591,117 13,773,352 6,886,676 3,443,338 1,721,669 5,165,008 2,582,504 1,291,252 645,626 322,813 968,440 484,220 242,110 121,055 363,166 181,583 544,750 272,375 817,126 408,563 1,225,690 612,845 1,838,536 919,268 459,634 229,817 689,452 344,726 172,363 517,090 258,545 775,636 387,818 193,909 581,728 290,864 145,432 72,716 36,358 18,179 54,538 27,269 81,808 40,904

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