2² × 3³ × 5 × 31 × 47²

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 31 × 47^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 121,336,320

Proper Divisor Sum 84,357,660

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36978659 ← → #36978701

Radix Representation

Decimal	36978660
Binary	10001101000011111111100100 (26 bits)
Octal	0o215037744
Hexadecimal	0x2343FE4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 47 54 60 62 90 93 94 108 124 135 141 155 180 186 188 235 270 279 282 310 372 423 465 470 540 558 564 620 705 837 846 930 940 1,116 1,269 1,395 1,410 1,457 1,674 1,692 1,860 2,115 2,209

Collatz Trajectory (134 steps to reach 1)

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

36,978,660 18,489,330 9,244,665 27,733,996 13,866,998 6,933,499 20,800,498 10,400,249 31,200,748 15,600,374 7,800,187 23,400,562 11,700,281 35,100,844 17,550,422 8,775,211 26,325,634 13,162,817 39,488,452 19,744,226 9,872,113 29,616,340 14,808,170 7,404,085 22,212,256 11,106,128 5,553,064 2,776,532 1,388,266 694,133 2,082,400 1,041,200 520,600 260,300 130,150 65,075 195,226 97,613 292,840 146,420 73,210 36,605 109,816 54,908 27,454 13,727 41,182 20,591 61,774 30,887 92,662 46,331 138,994 69,497 208,492 104,246 52,123 156,370 78,185 234,556

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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