λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,766,786
57,766,786
2 × 72 × 11 × 41 × 1307
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 41 × 1307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 112,728,672
Proper Divisor Sum 54,961,886
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #57766781 ← → #57766789

Radix Representation

Decimal 57766786
Binary 11011100010111001110000010 (26 bits)
Octal 0o334271602
Hexadecimal 0x3717382

Divisor Catalog (48)

1 2 7 11 14 22 41 49 77 82 98 154 287 451 539 574 902 1,078 1,307 2,009 2,614 3,157 4,018 6,314 9,149 14,377 18,298 22,099 28,754 44,198 53,587 64,043 100,639 107,174 128,086 201,278 375,109 589,457 704,473 750,218 1,178,914 1,408,946 2,625,763 4,126,199 5,251,526 8,252,398 28,883,393 57,766,786

Collatz Trajectory (269 steps to reach 1)

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

57,766,786 28,883,393 86,650,180 43,325,090 21,662,545 64,987,636 32,493,818 16,246,909 48,740,728 24,370,364 12,185,182 6,092,591 18,277,774 9,138,887 27,416,662 13,708,331 41,124,994 20,562,497 61,687,492 30,843,746 15,421,873 46,265,620 23,132,810 11,566,405 34,699,216 17,349,608 8,674,804 4,337,402 2,168,701 6,506,104 3,253,052 1,626,526 813,263 2,439,790 1,219,895 3,659,686 1,829,843 5,489,530 2,744,765 8,234,296 4,117,148 2,058,574 1,029,287 3,087,862 1,543,931 4,631,794 2,315,897 6,947,692 3,473,846 1,736,923 5,210,770 2,605,385 7,816,156 3,908,078 1,954,039 5,862,118 2,931,059 8,793,178 4,396,589 13,189,768

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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