7,307,775

3² × 5² × 32479

Prime Factor Structure

Factorization String 3^2 × 5^2 × 32479

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,089,440

Proper Divisor Sum 5,781,665

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7307771 ← → #7307777

Radix Representation

Decimal	7307775
Binary	11011111000000111111111 (23 bits)
Octal	0o33700777
Hexadecimal	0x6F81FF

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 32,479 97,437 162,395 292,311 487,185 811,975 1,461,555 2,435,925 7,307,775

Collatz Trajectory (191 steps to reach 1)

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

7,307,775 21,923,326 10,961,663 32,884,990 16,442,495 49,327,486 24,663,743 73,991,230 36,995,615 110,986,846 55,493,423 166,480,270 83,240,135 249,720,406 124,860,203 374,580,610 187,290,305 561,870,916 280,935,458 140,467,729 421,403,188 210,701,594 105,350,797 316,052,392 158,026,196 79,013,098 39,506,549 118,519,648 59,259,824 29,629,912 14,814,956 7,407,478 3,703,739 11,111,218 5,555,609 16,666,828 8,333,414 4,166,707 12,500,122 6,250,061 18,750,184 9,375,092 4,687,546 2,343,773 7,031,320 3,515,660 1,757,830 878,915 2,636,746 1,318,373 3,955,120 1,977,560 988,780 494,390 247,195 741,586 370,793 1,112,380 556,190 278,095

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