λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,596,054
52,596,054
2 × 34 × 7 × 46381
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 46381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 134,693,328
Proper Divisor Sum 82,097,274
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #52596043 ← → #52596059

Radix Representation

Decimal 52596054
Binary 11001000101000110101010110 (26 bits)
Octal 0o310506526
Hexadecimal 0x3228D56

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 46,381 92,762 139,143 278,286 324,667 417,429 649,334 834,858 974,001 1,252,287 1,948,002 2,504,574 2,922,003 3,756,861 5,844,006 7,513,722 8,766,009 17,532,018 26,298,027 52,596,054

Collatz Trajectory (168 steps to reach 1)

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

52,596,054 26,298,027 78,894,082 39,447,041 118,341,124 59,170,562 29,585,281 88,755,844 44,377,922 22,188,961 66,566,884 33,283,442 16,641,721 49,925,164 24,962,582 12,481,291 37,443,874 18,721,937 56,165,812 28,082,906 14,041,453 42,124,360 21,062,180 10,531,090 5,265,545 15,796,636 7,898,318 3,949,159 11,847,478 5,923,739 17,771,218 8,885,609 26,656,828 13,328,414 6,664,207 19,992,622 9,996,311 29,988,934 14,994,467 44,983,402 22,491,701 67,475,104 33,737,552 16,868,776 8,434,388 4,217,194 2,108,597 6,325,792 3,162,896 1,581,448 790,724 395,362 197,681 593,044 296,522 148,261 444,784 222,392 111,196 55,598

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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