2² × 3² × 5² × 23 × 47

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 23 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 3,249,792

Proper Divisor Sum 2,276,892

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #972899 ← → #972901

Radix Representation

Decimal	972900
Binary	11101101100001100100 (20 bits)
Octal	0o3554144
Hexadecimal	0xED864

Divisor Catalog (60 of 108)

1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 47 50 60 69 75 90 92 94 100 115 138 141 150 180 188 207 225 230 235 276 282 300 345 414 423 450 460 470 564 575 690 705 828 846 900 940 1,035 1,081 1,150 1,175 1,380 1,410

Collatz Trajectory (183 steps to reach 1)

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

972,900 486,450 243,225 729,676 364,838 182,419 547,258 273,629 820,888 410,444 205,222 102,611 307,834 153,917 461,752 230,876 115,438 57,719 173,158 86,579 259,738 129,869 389,608 194,804 97,402 48,701 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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