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83,671,665

3 × 5 × 72 × 11 × 79 × 131
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 11 × 79 × 131
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 173,352,960
Proper Divisor Sum 89,681,295
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #83671663 ← → #83671691

Radix Representation

Decimal 83671665
Binary 100111111001011101001110001 (27 bits)
Octal 0o477135161
Hexadecimal 0x4FCBA71

Divisor Catalog (60 of 96)

1 3 5 7 11 15 21 33 35 49 55 77 79 105 131 147 165 231 237 245 385 393 395 539 553 655 735 869 917 1,155 1,185 1,441 1,617 1,659 1,965 2,607 2,695 2,751 2,765 3,871 4,323 4,345 4,585 6,083 6,419 7,205 8,085 8,295 10,087 10,349 11,613 13,035 13,755 18,249 19,257 19,355 21,615 30,261 30,415 31,047

Collatz Trajectory (148 steps to reach 1)

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

83,671,665 251,014,996 125,507,498 62,753,749 188,261,248 94,130,624 47,065,312 23,532,656 11,766,328 5,883,164 2,941,582 1,470,791 4,412,374 2,206,187 6,618,562 3,309,281 9,927,844 4,963,922 2,481,961 7,445,884 3,722,942 1,861,471 5,584,414 2,792,207 8,376,622 4,188,311 12,564,934 6,282,467 18,847,402 9,423,701 28,271,104 14,135,552 7,067,776 3,533,888 1,766,944 883,472 441,736 220,868 110,434 55,217 165,652 82,826 41,413 124,240 62,120 31,060 15,530 7,765 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412

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