λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,463,680
3,463,680
29 × 3 × 5 × 11 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 3 × 5 × 11 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 12,374,208
Proper Divisor Sum 8,910,528
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3463679 ← → #3463687

Radix Representation

Decimal 3463680
Binary 1101001101101000000000 (22 bits)
Octal 0o15155000
Hexadecimal 0x34DA00

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 41 44 48 55 60 64 66 80 82 88 96 110 120 123 128 132 160 164 165 176 192 205 220 240 246 256 264 320 328 330 352 384 410 440 451 480 492 512 528 615 640

Collatz Trajectory (146 steps to reach 1)

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

3,463,680 1,731,840 865,920 432,960 216,480 108,240 54,120 27,060 13,530 6,765 20,296 10,148 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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