2³ × 3² × 7 × 11 × 23 × 29

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 11 × 23 × 29

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 13,478,400

Proper Divisor Sum 9,780,552

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3697847 ← → #3697849

Radix Representation

Decimal	3697848
Binary	1110000110110010111000 (22 bits)
Octal	0o16066270
Hexadecimal	0x386CB8

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 9 11 12 14 18 21 22 23 24 28 29 33 36 42 44 46 56 58 63 66 69 72 77 84 87 88 92 99 116 126 132 138 154 161 168 174 184 198 203 207 231 232 252 253 261 264 276 308 319 322 348 396 406

Collatz Trajectory (84 steps to reach 1)

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

3,697,848 1,848,924 924,462 462,231 1,386,694 693,347 2,080,042 1,040,021 3,120,064 1,560,032 780,016 390,008 195,004 97,502 48,751 146,254 73,127 219,382 109,691 329,074 164,537 493,612 246,806 123,403 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652

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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