λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,148,622
51,148,622
2 × 7 × 61 × 101 × 593
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 61 × 101 × 593
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 90,154,944
Proper Divisor Sum 39,006,322
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #51148621 ← → #51148633

Radix Representation

Decimal 51148622
Binary 11000011000111011101001110 (26 bits)
Octal 0o303073516
Hexadecimal 0x30C774E

Divisor Catalog (32)

1 2 7 14 61 101 122 202 427 593 707 854 1,186 1,414 4,151 6,161 8,302 12,322 36,173 43,127 59,893 72,346 86,254 119,786 253,211 419,251 506,422 838,502 3,653,473 7,306,946 25,574,311 51,148,622

Collatz Trajectory (168 steps to reach 1)

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

51,148,622 25,574,311 76,722,934 38,361,467 115,084,402 57,542,201 172,626,604 86,313,302 43,156,651 129,469,954 64,734,977 194,204,932 97,102,466 48,551,233 145,653,700 72,826,850 36,413,425 109,240,276 54,620,138 27,310,069 81,930,208 40,965,104 20,482,552 10,241,276 5,120,638 2,560,319 7,680,958 3,840,479 11,521,438 5,760,719 17,282,158 8,641,079 25,923,238 12,961,619 38,884,858 19,442,429 58,327,288 29,163,644 14,581,822 7,290,911 21,872,734 10,936,367 32,809,102 16,404,551 49,213,654 24,606,827 73,820,482 36,910,241 110,730,724 55,365,362 27,682,681 83,048,044 41,524,022 20,762,011 62,286,034 31,143,017 93,429,052 46,714,526 23,357,263 70,071,790

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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