2⁵ × 3 × 7 × 13 × 19 × 283

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 13 × 19 × 283

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 160,312,320

Proper Divisor Sum 113,338,848

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #46973471 ← → #46973473

Radix Representation

Decimal	46973472
Binary	10110011001100001000100000 (26 bits)
Octal	0o263141040
Hexadecimal	0x2CCC220

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 76 78 84 91 96 104 112 114 133 152 156 168 182 208 224 228 247 266 273 283 304 312 336 364 399 416 456 494 532 546 566 608 624 672 728 741

Collatz Trajectory (93 steps to reach 1)

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

46,973,472 23,486,736 11,743,368 5,871,684 2,935,842 1,467,921 4,403,764 2,201,882 1,100,941 3,302,824 1,651,412 825,706 412,853 1,238,560 619,280 309,640 154,820 77,410 38,705 116,116 58,058 29,029 87,088 43,544 21,772 10,886 5,443 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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