λ
Ratio Atlas
Atlas › Integer Profiles › Node 65,616,615
65,616,615
33 × 5 × 31 × 15679
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 31 × 15679
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 120,422,400
Proper Divisor Sum 54,805,785
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #65616611 ← → #65616619

Radix Representation

Decimal 65616615
Binary 11111010010011101011100111 (26 bits)
Octal 0o372235347
Hexadecimal 0x3E93AE7

Divisor Catalog (32)

1 3 5 9 15 27 31 45 93 135 155 279 465 837 1,395 4,185 15,679 47,037 78,395 141,111 235,185 423,333 486,049 705,555 1,458,147 2,116,665 2,430,245 4,374,441 7,290,735 13,123,323 21,872,205 65,616,615

Collatz Trajectory (308 steps to reach 1)

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

65,616,615 196,849,846 98,424,923 295,274,770 147,637,385 442,912,156 221,456,078 110,728,039 332,184,118 166,092,059 498,276,178 249,138,089 747,414,268 373,707,134 186,853,567 560,560,702 280,280,351 840,841,054 420,420,527 1,261,261,582 630,630,791 1,891,892,374 945,946,187 2,837,838,562 1,418,919,281 4,256,757,844 2,128,378,922 1,064,189,461 3,192,568,384 1,596,284,192 798,142,096 399,071,048 199,535,524 99,767,762 49,883,881 149,651,644 74,825,822 37,412,911 112,238,734 56,119,367 168,358,102 84,179,051 252,537,154 126,268,577 378,805,732 189,402,866 94,701,433 284,104,300 142,052,150 71,026,075 213,078,226 106,539,113 319,617,340 159,808,670 79,904,335 239,713,006 119,856,503 359,569,510 179,784,755 539,354,266

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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