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Ratio Atlas
Atlas › Integer Profiles › Node 16,958,727
16,958,727
36 × 43 × 541
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 43 × 541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 26,065,864
Proper Divisor Sum 9,107,137
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #16958719 ← → #16958731

Radix Representation

Decimal 16958727
Binary 1000000101100010100000111 (25 bits)
Octal 0o100542407
Hexadecimal 0x102C507

Divisor Catalog (28)

1 3 9 27 43 81 129 243 387 541 729 1,161 1,623 3,483 4,869 10,449 14,607 23,263 31,347 43,821 69,789 131,463 209,367 394,389 628,101 1,884,303 5,652,909 16,958,727

Collatz Trajectory (169 steps to reach 1)

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

16,958,727 50,876,182 25,438,091 76,314,274 38,157,137 114,471,412 57,235,706 28,617,853 85,853,560 42,926,780 21,463,390 10,731,695 32,195,086 16,097,543 48,292,630 24,146,315 72,438,946 36,219,473 108,658,420 54,329,210 27,164,605 81,493,816 40,746,908 20,373,454 10,186,727 30,560,182 15,280,091 45,840,274 22,920,137 68,760,412 34,380,206 17,190,103 51,570,310 25,785,155 77,355,466 38,677,733 116,033,200 58,016,600 29,008,300 14,504,150 7,252,075 21,756,226 10,878,113 32,634,340 16,317,170 8,158,585 24,475,756 12,237,878 6,118,939 18,356,818 9,178,409 27,535,228 13,767,614 6,883,807 20,651,422 10,325,711 30,977,134 15,488,567 46,465,702 23,232,851

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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