λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,502,134
56,502,134
2 × 13 × 53 × 131 × 313
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 53 × 131 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,004,064
Proper Divisor Sum 37,501,930
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #56502133 ← → #56502137

Radix Representation

Decimal 56502134
Binary 11010111100010011101110110 (26 bits)
Octal 0o327423566
Hexadecimal 0x35E2776

Divisor Catalog (32)

1 2 13 26 53 106 131 262 313 626 689 1,378 1,703 3,406 4,069 6,943 8,138 13,886 16,589 33,178 41,003 82,006 90,259 180,518 215,657 431,314 533,039 1,066,078 2,173,159 4,346,318 28,251,067 56,502,134

Collatz Trajectory (132 steps to reach 1)

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

56,502,134 28,251,067 84,753,202 42,376,601 127,129,804 63,564,902 31,782,451 95,347,354 47,673,677 143,021,032 71,510,516 35,755,258 17,877,629 53,632,888 26,816,444 13,408,222 6,704,111 20,112,334 10,056,167 30,168,502 15,084,251 45,252,754 22,626,377 67,879,132 33,939,566 16,969,783 50,909,350 25,454,675 76,364,026 38,182,013 114,546,040 57,273,020 28,636,510 14,318,255 42,954,766 21,477,383 64,432,150 32,216,075 96,648,226 48,324,113 144,972,340 72,486,170 36,243,085 108,729,256 54,364,628 27,182,314 13,591,157 40,773,472 20,386,736 10,193,368 5,096,684 2,548,342 1,274,171 3,822,514 1,911,257 5,733,772 2,866,886 1,433,443 4,300,330 2,150,165

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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