λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,740,690
57,740,690
2 × 5 × 7 × 101 × 8167
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 101 × 8167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 119,971,584
Proper Divisor Sum 62,230,894
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57740689 ← → #57740699

Radix Representation

Decimal 57740690
Binary 11011100010000110110010010 (26 bits)
Octal 0o334206622
Hexadecimal 0x3710D92

Divisor Catalog (32)

1 2 5 7 10 14 35 70 101 202 505 707 1,010 1,414 3,535 7,070 8,167 16,334 40,835 57,169 81,670 114,338 285,845 571,690 824,867 1,649,734 4,124,335 5,774,069 8,248,670 11,548,138 28,870,345 57,740,690

Collatz Trajectory (176 steps to reach 1)

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

57,740,690 28,870,345 86,611,036 43,305,518 21,652,759 64,958,278 32,479,139 97,437,418 48,718,709 146,156,128 73,078,064 36,539,032 18,269,516 9,134,758 4,567,379 13,702,138 6,851,069 20,553,208 10,276,604 5,138,302 2,569,151 7,707,454 3,853,727 11,561,182 5,780,591 17,341,774 8,670,887 26,012,662 13,006,331 39,018,994 19,509,497 58,528,492 29,264,246 14,632,123 43,896,370 21,948,185 65,844,556 32,922,278 16,461,139 49,383,418 24,691,709 74,075,128 37,037,564 18,518,782 9,259,391 27,778,174 13,889,087 41,667,262 20,833,631 62,500,894 31,250,447 93,751,342 46,875,671 140,627,014 70,313,507 210,940,522 105,470,261 316,410,784 158,205,392 79,102,696

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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