λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,102,462
30,102,462
2 × 33 × 13 × 137 × 313
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 137 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 72,797,760
Proper Divisor Sum 42,695,298
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #30102439 ← → #30102467

Radix Representation

Decimal 30102462
Binary 1110010110101001110111110 (25 bits)
Octal 0o162651676
Hexadecimal 0x1CB53BE

Divisor Catalog (60 of 64)

1 2 3 6 9 13 18 26 27 39 54 78 117 137 234 274 313 351 411 626 702 822 939 1,233 1,781 1,878 2,466 2,817 3,562 3,699 4,069 5,343 5,634 7,398 8,138 8,451 10,686 12,207 16,029 16,902 24,414 32,058 36,621 42,881 48,087 73,242 85,762 96,174 109,863 128,643 219,726 257,286 385,929 557,453 771,858 1,114,906 1,157,787 1,672,359 2,315,574 3,344,718

Collatz Trajectory (281 steps to reach 1)

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

30,102,462 15,051,231 45,153,694 22,576,847 67,730,542 33,865,271 101,595,814 50,797,907 152,393,722 76,196,861 228,590,584 114,295,292 57,147,646 28,573,823 85,721,470 42,860,735 128,582,206 64,291,103 192,873,310 96,436,655 289,309,966 144,654,983 433,964,950 216,982,475 650,947,426 325,473,713 976,421,140 488,210,570 244,105,285 732,315,856 366,157,928 183,078,964 91,539,482 45,769,741 137,309,224 68,654,612 34,327,306 17,163,653 51,490,960 25,745,480 12,872,740 6,436,370 3,218,185 9,654,556 4,827,278 2,413,639 7,240,918 3,620,459 10,861,378 5,430,689 16,292,068 8,146,034 4,073,017 12,219,052 6,109,526 3,054,763 9,164,290 4,582,145 13,746,436 6,873,218

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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