λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,116,527
5,116,527
34 × 13 × 43 × 113
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 13 × 43 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,497,104
Proper Divisor Sum 3,380,577
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5116493 ← → #5116537

Radix Representation

Decimal 5116527
Binary 10011100001001001101111 (23 bits)
Octal 0o23411157
Hexadecimal 0x4E126F

Divisor Catalog (40)

1 3 9 13 27 39 43 81 113 117 129 339 351 387 559 1,017 1,053 1,161 1,469 1,677 3,051 3,483 4,407 4,859 5,031 9,153 13,221 14,577 15,093 39,663 43,731 45,279 63,167 118,989 131,193 189,501 393,579 568,503 1,705,509 5,116,527

Collatz Trajectory (281 steps to reach 1)

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

5,116,527 15,349,582 7,674,791 23,024,374 11,512,187 34,536,562 17,268,281 51,804,844 25,902,422 12,951,211 38,853,634 19,426,817 58,280,452 29,140,226 14,570,113 43,710,340 21,855,170 10,927,585 32,782,756 16,391,378 8,195,689 24,587,068 12,293,534 6,146,767 18,440,302 9,220,151 27,660,454 13,830,227 41,490,682 20,745,341 62,236,024 31,118,012 15,559,006 7,779,503 23,338,510 11,669,255 35,007,766 17,503,883 52,511,650 26,255,825 78,767,476 39,383,738 19,691,869 59,075,608 29,537,804 14,768,902 7,384,451 22,153,354 11,076,677 33,230,032 16,615,016 8,307,508 4,153,754 2,076,877 6,230,632 3,115,316 1,557,658 778,829 2,336,488 1,168,244

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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