2² × 3⁴ × 5 × 13 × 1753

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 13 × 1753

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 124,793,592

Proper Divisor Sum 87,875,412

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #36918173 ← → #36918181

Radix Representation

Decimal	36918180
Binary	10001100110101001110100100 (26 bits)
Octal	0o214651644
Hexadecimal	0x23353A4

Divisor Catalog (60 of 120)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1,053 1,170 1,404 1,620 1,753 1,755 2,106 2,340 3,506 3,510 4,212 5,259 5,265

Collatz Trajectory (183 steps to reach 1)

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

36,918,180 18,459,090 9,229,545 27,688,636 13,844,318 6,922,159 20,766,478 10,383,239 31,149,718 15,574,859 46,724,578 23,362,289 70,086,868 35,043,434 17,521,717 52,565,152 26,282,576 13,141,288 6,570,644 3,285,322 1,642,661 4,927,984 2,463,992 1,231,996 615,998 307,999 923,998 461,999 1,385,998 692,999 2,078,998 1,039,499 3,118,498 1,559,249 4,677,748 2,338,874 1,169,437 3,508,312 1,754,156 877,078 438,539 1,315,618 657,809 1,973,428 986,714 493,357 1,480,072 740,036 370,018 185,009 555,028 277,514 138,757 416,272 208,136 104,068 52,034 26,017 78,052 39,026

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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