λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,111,337
5,111,337
3 × 72 × 11 × 29 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 29 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,028,800
Proper Divisor Sum 3,917,463
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5111317 ← → #5111341

Radix Representation

Decimal 5111337
Binary 10011011111111000101001 (23 bits)
Octal 0o23377051
Hexadecimal 0x4DFE29

Divisor Catalog (48)

1 3 7 11 21 29 33 49 77 87 109 147 203 231 319 327 539 609 763 957 1,199 1,421 1,617 2,233 2,289 3,161 3,597 4,263 5,341 6,699 8,393 9,483 15,631 16,023 22,127 25,179 34,771 46,893 58,751 66,381 104,313 154,889 176,253 243,397 464,667 730,191 1,703,779 5,111,337

Collatz Trajectory (126 steps to reach 1)

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

5,111,337 15,334,012 7,667,006 3,833,503 11,500,510 5,750,255 17,250,766 8,625,383 25,876,150 12,938,075 38,814,226 19,407,113 58,221,340 29,110,670 14,555,335 43,666,006 21,833,003 65,499,010 32,749,505 98,248,516 49,124,258 24,562,129 73,686,388 36,843,194 18,421,597 55,264,792 27,632,396 13,816,198 6,908,099 20,724,298 10,362,149 31,086,448 15,543,224 7,771,612 3,885,806 1,942,903 5,828,710 2,914,355 8,743,066 4,371,533 13,114,600 6,557,300 3,278,650 1,639,325 4,917,976 2,458,988 1,229,494 614,747 1,844,242 922,121 2,766,364 1,383,182 691,591 2,074,774 1,037,387 3,112,162 1,556,081 4,668,244 2,334,122 1,167,061

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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