3,677,598

2 × 3² × 204311

Prime Factor Structure

Factorization String 2 × 3^2 × 204311

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,968,168

Proper Divisor Sum 4,290,570

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3677591 ← → #3677599

Radix Representation

Decimal	3677598
Binary	1110000001110110011110 (22 bits)
Octal	0o16016636
Hexadecimal	0x381D9E

Divisor Catalog (12)

1 2 3 6 9 18 204,311 408,622 612,933 1,225,866 1,838,799 3,677,598

Collatz Trajectory (309 steps to reach 1)

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

3,677,598 1,838,799 5,516,398 2,758,199 8,274,598 4,137,299 12,411,898 6,205,949 18,617,848 9,308,924 4,654,462 2,327,231 6,981,694 3,490,847 10,472,542 5,236,271 15,708,814 7,854,407 23,563,222 11,781,611 35,344,834 17,672,417 53,017,252 26,508,626 13,254,313 39,762,940 19,881,470 9,940,735 29,822,206 14,911,103 44,733,310 22,366,655 67,099,966 33,549,983 100,649,950 50,324,975 150,974,926 75,487,463 226,462,390 113,231,195 339,693,586 169,846,793 509,540,380 254,770,190 127,385,095 382,155,286 191,077,643 573,232,930 286,616,465 859,849,396 429,924,698 214,962,349 644,887,048 322,443,524 161,221,762 80,610,881 241,832,644 120,916,322 60,458,161 181,374,484

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