2³ × 3⁴ × 7² × 1163

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7^2 × 1163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 120,421,620

Proper Divisor Sum 83,494,044

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36927563 ← → #36927577

Radix Representation

Decimal	36927576
Binary	10001100110111100001011000 (26 bits)
Octal	0o214674130
Hexadecimal	0x2337858

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1,134 1,163 1,176 1,323 1,512 1,764 2,268 2,326 2,646 3,489 3,528 3,969 4,536 4,652 5,292

Collatz Trajectory (77 steps to reach 1)

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

36,927,576 18,463,788 9,231,894 4,615,947 13,847,842 6,923,921 20,771,764 10,385,882 5,192,941 15,578,824 7,789,412 3,894,706 1,947,353 5,842,060 2,921,030 1,460,515 4,381,546 2,190,773 6,572,320 3,286,160 1,643,080 821,540 410,770 205,385 616,156 308,078 154,039 462,118 231,059 693,178 346,589 1,039,768 519,884 259,942 129,971 389,914 194,957 584,872 292,436 146,218 73,109 219,328 109,664 54,832 27,416 13,708 6,854 3,427 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181

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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