λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,766,332
57,766,332
22 × 3 × 13 × 353 × 1049
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 353 × 1049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 145,706,400
Proper Divisor Sum 87,940,068
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57766309 ← → #57766333

Radix Representation

Decimal 57766332
Binary 11011100010111000110111100 (26 bits)
Octal 0o334270674
Hexadecimal 0x37171BC

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 156 353 706 1,049 1,059 1,412 2,098 2,118 3,147 4,196 4,236 4,589 6,294 9,178 12,588 13,637 13,767 18,356 27,274 27,534 40,911 54,548 55,068 81,822 163,644 370,297 740,594 1,110,891 1,481,188 2,221,782 4,443,564 4,813,861 9,627,722 14,441,583 19,255,444 28,883,166 57,766,332

Collatz Trajectory (238 steps to reach 1)

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

57,766,332 28,883,166 14,441,583 43,324,750 21,662,375 64,987,126 32,493,563 97,480,690 48,740,345 146,221,036 73,110,518 36,555,259 109,665,778 54,832,889 164,498,668 82,249,334 41,124,667 123,374,002 61,687,001 185,061,004 92,530,502 46,265,251 138,795,754 69,397,877 208,193,632 104,096,816 52,048,408 26,024,204 13,012,102 6,506,051 19,518,154 9,759,077 29,277,232 14,638,616 7,319,308 3,659,654 1,829,827 5,489,482 2,744,741 8,234,224 4,117,112 2,058,556 1,029,278 514,639 1,543,918 771,959 2,315,878 1,157,939 3,473,818 1,736,909 5,210,728 2,605,364 1,302,682 651,341 1,954,024 977,012 488,506 244,253 732,760 366,380

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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