2³ × 3² × 5 × 17 × 67

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 17 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,432,080

Proper Divisor Sum 1,022,040

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #410029 ← → #410063

Radix Representation

Decimal	410040
Binary	1100100000110111000 (19 bits)
Octal	0o1440670
Hexadecimal	0x641B8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 67 68 72 85 90 102 120 134 136 153 170 180 201 204 255 268 306 335 340 360 402 408 510 536 603 612 670 680 765 804 1,005 1,020 1,139 1,206 1,224 1,340 1,530 1,608

Collatz Trajectory (236 steps to reach 1)

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

410,040 205,020 102,510 51,255 153,766 76,883 230,650 115,325 345,976 172,988 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467 1,108,402 554,201 1,662,604 831,302 415,651 1,246,954 623,477 1,870,432 935,216 467,608 233,804 116,902 58,451 175,354 87,677 263,032 131,516 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969 332,908 166,454 83,227 249,682 124,841 374,524 187,262 93,631

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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