λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,469,072
12,469,072
24 × 7 × 11 × 29 × 349
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 29 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 31,248,000
Proper Divisor Sum 18,778,928
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12469069 ← → #12469081

Radix Representation

Decimal 12469072
Binary 101111100100001101010000 (24 bits)
Octal 0o57441520
Hexadecimal 0xBE4350

Divisor Catalog (60 of 80)

1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 349 406 464 616 638 698 812 1,232 1,276 1,396 1,624 2,233 2,443 2,552 2,792 3,248 3,839 4,466 4,886 5,104 5,584 7,678 8,932 9,772 10,121 15,356 17,864 19,544 20,242 26,873 30,712 35,728 39,088 40,484 53,746 61,424

Collatz Trajectory (73 steps to reach 1)

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

12,469,072 6,234,536 3,117,268 1,558,634 779,317 2,337,952 1,168,976 584,488 292,244 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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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