2² × 3⁴ × 5² × 23 × 197

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5^2 × 23 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 124,773,264

Proper Divisor Sum 88,072,164

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #36701099 ← → #36701131

Radix Representation

Decimal	36701100
Binary	10001100000000001110101100 (26 bits)
Octal	0o214001654
Hexadecimal	0x23003AC

Divisor Catalog (60 of 180)

1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 81 90 92 100 108 115 135 138 150 162 180 197 207 225 230 270 276 300 324 345 394 405 414 450 460 540 575 591 621 675 690 788 810 828 900 985

Collatz Trajectory (258 steps to reach 1)

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

36,701,100 18,350,550 9,175,275 27,525,826 13,762,913 41,288,740 20,644,370 10,322,185 30,966,556 15,483,278 7,741,639 23,224,918 11,612,459 34,837,378 17,418,689 52,256,068 26,128,034 13,064,017 39,192,052 19,596,026 9,798,013 29,394,040 14,697,020 7,348,510 3,674,255 11,022,766 5,511,383 16,534,150 8,267,075 24,801,226 12,400,613 37,201,840 18,600,920 9,300,460 4,650,230 2,325,115 6,975,346 3,487,673 10,463,020 5,231,510 2,615,755 7,847,266 3,923,633 11,770,900 5,885,450 2,942,725 8,828,176 4,414,088 2,207,044 1,103,522 551,761 1,655,284 827,642 413,821 1,241,464 620,732 310,366 155,183 465,550 232,775

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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