2² × 3⁵ × 7 × 11 × 13

Prime Factor Structure

Factorization String 2^2 × 3^5 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 3,424,512

Proper Divisor Sum 2,451,540

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #972967 ← → #972977

Radix Representation

Decimal	972972
Binary	11101101100010101100 (20 bits)
Octal	0o3554254
Hexadecimal	0xED8AC

Divisor Catalog (60 of 144)

1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 27 28 33 36 39 42 44 52 54 63 66 77 78 81 84 91 99 108 117 126 132 143 154 156 162 182 189 198 231 234 243 252 273 286 297 308 324 351 364 378 396 429 462 468 486

Collatz Trajectory (90 steps to reach 1)

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

972,972 486,486 243,243 729,730 364,865 1,094,596 547,298 273,649 820,948 410,474 205,237 615,712 307,856 153,928 76,964 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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