λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,770,800
57,770,800
24 × 52 × 144427
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 144427
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 138,795,308
Proper Divisor Sum 81,024,508
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57770761 ← → #57770803

Radix Representation

Decimal 57770800
Binary 11011100011000001100110000 (26 bits)
Octal 0o334301460
Hexadecimal 0x3718330

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 144,427 288,854 577,708 722,135 1,155,416 1,444,270 2,310,832 2,888,540 3,610,675 5,777,080 7,221,350 11,554,160 14,442,700 28,885,400 57,770,800

Collatz Trajectory (269 steps to reach 1)

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

57,770,800 28,885,400 14,442,700 7,221,350 3,610,675 10,832,026 5,416,013 16,248,040 8,124,020 4,062,010 2,031,005 6,093,016 3,046,508 1,523,254 761,627 2,284,882 1,142,441 3,427,324 1,713,662 856,831 2,570,494 1,285,247 3,855,742 1,927,871 5,783,614 2,891,807 8,675,422 4,337,711 13,013,134 6,506,567 19,519,702 9,759,851 29,279,554 14,639,777 43,919,332 21,959,666 10,979,833 32,939,500 16,469,750 8,234,875 24,704,626 12,352,313 37,056,940 18,528,470 9,264,235 27,792,706 13,896,353 41,689,060 20,844,530 10,422,265 31,266,796 15,633,398 7,816,699 23,450,098 11,725,049 35,175,148 17,587,574 8,793,787 26,381,362 13,190,681

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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