2³ × 3² × 11 × 19 × 47

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,246,400

Proper Divisor Sum 1,539,144

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #707249 ← → #707261

Radix Representation

Decimal	707256
Binary	10101100101010111000 (20 bits)
Octal	0o2545270
Hexadecimal	0xACAB8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 47 57 66 72 76 88 94 99 114 132 141 152 171 188 198 209 228 264 282 342 376 396 418 423 456 517 564 627 684 792 836 846 893 1,034 1,128 1,254 1,368 1,551 1,672 1,692 1,786 1,881 2,068

Collatz Trajectory (123 steps to reach 1)

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

707,256 353,628 176,814 88,407 265,222 132,611 397,834 198,917 596,752 298,376 149,188 74,594 37,297 111,892 55,946 27,973 83,920 41,960 20,980 10,490 5,245 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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