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Ratio Atlas
Atlas › Integer Profiles › Node 10,696,617
10,696,617
37 × 67 × 73
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^7 × 67 × 73
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,504,960
Proper Divisor Sum 5,808,343
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #10696591 ← → #10696627

Radix Representation

Decimal 10696617
Binary 101000110011011110101001 (24 bits)
Octal 0o50633651
Hexadecimal 0xA337A9

Divisor Catalog (32)

1 3 9 27 67 73 81 201 219 243 603 657 729 1,809 1,971 2,187 4,891 5,427 5,913 14,673 16,281 17,739 44,019 48,843 53,217 132,057 146,529 159,651 396,171 1,188,513 3,565,539 10,696,617

Collatz Trajectory (264 steps to reach 1)

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

10,696,617 32,089,852 16,044,926 8,022,463 24,067,390 12,033,695 36,101,086 18,050,543 54,151,630 27,075,815 81,227,446 40,613,723 121,841,170 60,920,585 182,761,756 91,380,878 45,690,439 137,071,318 68,535,659 205,606,978 102,803,489 308,410,468 154,205,234 77,102,617 231,307,852 115,653,926 57,826,963 173,480,890 86,740,445 260,221,336 130,110,668 65,055,334 32,527,667 97,583,002 48,791,501 146,374,504 73,187,252 36,593,626 18,296,813 54,890,440 27,445,220 13,722,610 6,861,305 20,583,916 10,291,958 5,145,979 15,437,938 7,718,969 23,156,908 11,578,454 5,789,227 17,367,682 8,683,841 26,051,524 13,025,762 6,512,881 19,538,644 9,769,322 4,884,661 14,653,984

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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