2⁴ × 3³ × 13² × 29

Prime Factor Structure

Factorization String 2^4 × 3^3 × 13^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 6,807,600

Proper Divisor Sum 4,690,368

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2117179 ← → #2117233

Radix Representation

Decimal	2117232
Binary	1000000100111001110000 (22 bits)
Octal	0o10047160
Hexadecimal	0x204E70

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 169 174 208 216 232 234 261 312 338 348 351 377 432 464 468 507 522 624 676 696 702 754 783 936 1,014 1,044 1,131 1,352 1,392 1,404

Collatz Trajectory (148 steps to reach 1)

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

2,117,232 1,058,616 529,308 264,654 132,327 396,982 198,491 595,474 297,737 893,212 446,606 223,303 669,910 334,955 1,004,866 502,433 1,507,300 753,650 376,825 1,130,476 565,238 282,619 847,858 423,929 1,271,788 635,894 317,947 953,842 476,921 1,430,764 715,382 357,691 1,073,074 536,537 1,609,612 804,806 402,403 1,207,210 603,605 1,810,816 905,408 452,704 226,352 113,176 56,588 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432

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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