λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,749,720
57,749,720
23 × 5 × 7 × 206249
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 206249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 148,500,000
Proper Divisor Sum 90,750,280
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57749707 ← → #57749723

Radix Representation

Decimal 57749720
Binary 11011100010011000011011000 (26 bits)
Octal 0o334230330
Hexadecimal 0x37130D8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 206,249 412,498 824,996 1,031,245 1,443,743 1,649,992 2,062,490 2,887,486 4,124,980 5,774,972 7,218,715 8,249,960 11,549,944 14,437,430 28,874,860 57,749,720

Collatz Trajectory (176 steps to reach 1)

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

57,749,720 28,874,860 14,437,430 7,218,715 21,656,146 10,828,073 32,484,220 16,242,110 8,121,055 24,363,166 12,181,583 36,544,750 18,272,375 54,817,126 27,408,563 82,225,690 41,112,845 123,338,536 61,669,268 30,834,634 15,417,317 46,251,952 23,125,976 11,562,988 5,781,494 2,890,747 8,672,242 4,336,121 13,008,364 6,504,182 3,252,091 9,756,274 4,878,137 14,634,412 7,317,206 3,658,603 10,975,810 5,487,905 16,463,716 8,231,858 4,115,929 12,347,788 6,173,894 3,086,947 9,260,842 4,630,421 13,891,264 6,945,632 3,472,816 1,736,408 868,204 434,102 217,051 651,154 325,577 976,732 488,366 244,183 732,550 366,275

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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