2⁶ × 3² × 17 × 41

Prime Factor Structure

Factorization String 2^6 × 3^2 × 17 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,248,156

Proper Divisor Sum 846,684

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #401417 ← → #401473

Radix Representation

Decimal	401472
Binary	1100010000001000000 (19 bits)
Octal	0o1420100
Hexadecimal	0x62040

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 41 48 51 64 68 72 82 96 102 123 136 144 153 164 192 204 246 272 288 306 328 369 408 492 544 576 612 656 697 738 816 984 1,088 1,224 1,312 1,394 1,476 1,632 1,968 2,091 2,448 2,624 2,788 2,952 3,264

Collatz Trajectory (68 steps to reach 1)

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

401,472 200,736 100,368 50,184 25,092 12,546 6,273 18,820 9,410 4,705 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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