λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,596,082
52,596,082
2 × 7 × 11 × 29 × 11777
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 29 × 11777
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 101,761,920
Proper Divisor Sum 49,165,838
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #52596059 ← → #52596083

Radix Representation

Decimal 52596082
Binary 11001000101000110101110010 (26 bits)
Octal 0o310506562
Hexadecimal 0x3228D72

Divisor Catalog (32)

1 2 7 11 14 22 29 58 77 154 203 319 406 638 2,233 4,466 11,777 23,554 82,439 129,547 164,878 259,094 341,533 683,066 906,829 1,813,658 2,390,731 3,756,863 4,781,462 7,513,726 26,298,041 52,596,082

Collatz Trajectory (155 steps to reach 1)

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

52,596,082 26,298,041 78,894,124 39,447,062 19,723,531 59,170,594 29,585,297 88,755,892 44,377,946 22,188,973 66,566,920 33,283,460 16,641,730 8,320,865 24,962,596 12,481,298 6,240,649 18,721,948 9,360,974 4,680,487 14,041,462 7,020,731 21,062,194 10,531,097 31,593,292 15,796,646 7,898,323 23,694,970 11,847,485 35,542,456 17,771,228 8,885,614 4,442,807 13,328,422 6,664,211 19,992,634 9,996,317 29,988,952 14,994,476 7,497,238 3,748,619 11,245,858 5,622,929 16,868,788 8,434,394 4,217,197 12,651,592 6,325,796 3,162,898 1,581,449 4,744,348 2,372,174 1,186,087 3,558,262 1,779,131 5,337,394 2,668,697 8,006,092 4,003,046 2,001,523

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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