2² × 3⁷ × 5 × 19 × 29

Prime Factor Structure

Factorization String 2^2 × 3^7 × 5 × 19 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 82,656,000

Proper Divisor Sum 58,555,260

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #24100729 ← → #24100799

Radix Representation

Decimal	24100740
Binary	1011011111011111110000100 (25 bits)
Octal	0o133737604
Hexadecimal	0x16FBF84

Divisor Catalog (60 of 192)

1 2 3 4 5 6 9 10 12 15 18 19 20 27 29 30 36 38 45 54 57 58 60 76 81 87 90 95 108 114 116 135 145 162 171 174 180 190 228 243 261 270 285 290 324 342 348 380 405 435 486 513 522 540 551 570 580 684 729 783

Collatz Trajectory (260 steps to reach 1)

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

24,100,740 12,050,370 6,025,185 18,075,556 9,037,778 4,518,889 13,556,668 6,778,334 3,389,167 10,167,502 5,083,751 15,251,254 7,625,627 22,876,882 11,438,441 34,315,324 17,157,662 8,578,831 25,736,494 12,868,247 38,604,742 19,302,371 57,907,114 28,953,557 86,860,672 43,430,336 21,715,168 10,857,584 5,428,792 2,714,396 1,357,198 678,599 2,035,798 1,017,899 3,053,698 1,526,849 4,580,548 2,290,274 1,145,137 3,435,412 1,717,706 858,853 2,576,560 1,288,280 644,140 322,070 161,035 483,106 241,553 724,660 362,330 181,165 543,496 271,748 135,874 67,937 203,812 101,906 50,953 152,860

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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