λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,715,295
57,715,295
5 × 11 × 47 × 83 × 269
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11 × 47 × 83 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 78,382,080
Proper Divisor Sum 20,666,785
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57715283 ← → #57715309

Radix Representation

Decimal 57715295
Binary 11011100001010101001011111 (26 bits)
Octal 0o334125137
Hexadecimal 0x370AA5F

Divisor Catalog (32)

1 5 11 47 55 83 235 269 415 517 913 1,345 2,585 2,959 3,901 4,565 12,643 14,795 19,505 22,327 42,911 63,215 111,635 139,073 214,555 245,597 695,365 1,049,369 1,227,985 5,246,845 11,543,059 57,715,295

Collatz Trajectory (119 steps to reach 1)

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

57,715,295 173,145,886 86,572,943 259,718,830 129,859,415 389,578,246 194,789,123 584,367,370 292,183,685 876,551,056 438,275,528 219,137,764 109,568,882 54,784,441 164,353,324 82,176,662 41,088,331 123,264,994 61,632,497 184,897,492 92,448,746 46,224,373 138,673,120 69,336,560 34,668,280 17,334,140 8,667,070 4,333,535 13,000,606 6,500,303 19,500,910 9,750,455 29,251,366 14,625,683 43,877,050 21,938,525 65,815,576 32,907,788 16,453,894 8,226,947 24,680,842 12,340,421 37,021,264 18,510,632 9,255,316 4,627,658 2,313,829 6,941,488 3,470,744 1,735,372 867,686 433,843 1,301,530 650,765 1,952,296 976,148 488,074 244,037 732,112 366,056

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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