2⁵ × 3⁵ × 7 × 73

Prime Factor Structure

Factorization String 2^5 × 3^5 × 7 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,575,744

Proper Divisor Sum 9,602,208

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3973531 ← → #3973553

Radix Representation

Decimal	3973536
Binary	1111001010000110100000 (22 bits)
Octal	0o17120640
Hexadecimal	0x3CA1A0

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 73 81 84 96 108 112 126 144 146 162 168 189 216 219 224 243 252 288 292 324 336 378 432 438 486 504 511 567 584 648 657 672 756 864 876 972

Collatz Trajectory (141 steps to reach 1)

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

3,973,536 1,986,768 993,384 496,692 248,346 124,173 372,520 186,260 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701

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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