2² × 3 × 5 × 7 × 23 × 73

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 23 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,386,944

Proper Divisor Sum 1,681,764

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #705169 ← → #705181

Radix Representation

Decimal	705180
Binary	10101100001010011100 (20 bits)
Octal	0o2541234
Hexadecimal	0xAC29C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 73 84 92 105 115 138 140 146 161 210 219 230 276 292 322 345 365 420 438 460 483 511 644 690 730 805 876 966 1,022 1,095 1,380 1,460 1,533 1,610 1,679 1,932 2,044 2,190

Collatz Trajectory (180 steps to reach 1)

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

705,180 352,590 176,295 528,886 264,443 793,330 396,665 1,189,996 594,998 297,499 892,498 446,249 1,338,748 669,374 334,687 1,004,062 502,031 1,506,094 753,047 2,259,142 1,129,571 3,388,714 1,694,357 5,083,072 2,541,536 1,270,768 635,384 317,692 158,846 79,423 238,270 119,135 357,406 178,703 536,110 268,055 804,166 402,083 1,206,250 603,125 1,809,376 904,688 452,344 226,172 113,086 56,543 169,630 84,815 254,446 127,223 381,670 190,835 572,506 286,253 858,760 429,380 214,690 107,345 322,036 161,018

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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