λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,640
29,640
23 × 3 × 5 × 13 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 100,800
Proper Divisor Sum 71,160
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #29633 ← → #29641

Radix Representation

Decimal 29640
Binary 111001111001000 (15 bits)
Octal 0o71710
Hexadecimal 0x73C8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1,140 1,235 1,482 1,560 1,976 2,280 2,470 2,964 3,705 4,940 5,928

Collatz Trajectory (165 steps to reach 1)

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

29,640 14,820 7,410 3,705 11,116 5,558 2,779 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190

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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