λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,778,249
39,778,249
72 × 172 × 532
Deficient Odd Composite Square (√ = 6307)

Prime Factor Structure

Factorization String 7^2 × 17^2 × 53^2
Distinct Prime Factors 3
Square Status Yes (√39778249 = 6307)
Abundance Measure Deficient

Analytical Properties

Total Divisors 27
Divisor Sum (σ) 50,099,637
Proper Divisor Sum 10,321,388
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #39778237 ← → #39778253

Radix Representation

Decimal 39778249
Binary 10010111101111011111001001 (26 bits)
Octal 0o227573711
Hexadecimal 0x25EF7C9

Divisor Catalog (27)

1 7 17 49 53 119 289 371 833 901 2,023 2,597 2,809 6,307 14,161 15,317 19,663 44,149 47,753 107,219 137,641 334,271 750,533 811,801 2,339,897 5,682,607 39,778,249

Collatz Trajectory (276 steps to reach 1)

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

39,778,249 119,334,748 59,667,374 29,833,687 89,501,062 44,750,531 134,251,594 67,125,797 201,377,392 100,688,696 50,344,348 25,172,174 12,586,087 37,758,262 18,879,131 56,637,394 28,318,697 84,956,092 42,478,046 21,239,023 63,717,070 31,858,535 95,575,606 47,787,803 143,363,410 71,681,705 215,045,116 107,522,558 53,761,279 161,283,838 80,641,919 241,925,758 120,962,879 362,888,638 181,444,319 544,332,958 272,166,479 816,499,438 408,249,719 1,224,749,158 612,374,579 1,837,123,738 918,561,869 2,755,685,608 1,377,842,804 688,921,402 344,460,701 1,033,382,104 516,691,052 258,345,526 129,172,763 387,518,290 193,759,145 581,277,436 290,638,718 145,319,359 435,958,078 217,979,039 653,937,118 326,968,559

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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