λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,596,135
13,596,135
3 × 5 × 7 × 31 × 4177
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 31 × 4177
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,669,632
Proper Divisor Sum 12,073,497
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #13596119 ← → #13596139

Radix Representation

Decimal 13596135
Binary 110011110111010111100111 (24 bits)
Octal 0o63672747
Hexadecimal 0xCF75E7

Divisor Catalog (32)

1 3 5 7 15 21 31 35 93 105 155 217 465 651 1,085 3,255 4,177 12,531 20,885 29,239 62,655 87,717 129,487 146,195 388,461 438,585 647,435 906,409 1,942,305 2,719,227 4,532,045 13,596,135

Collatz Trajectory (316 steps to reach 1)

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

13,596,135 40,788,406 20,394,203 61,182,610 30,591,305 91,773,916 45,886,958 22,943,479 68,830,438 34,415,219 103,245,658 51,622,829 154,868,488 77,434,244 38,717,122 19,358,561 58,075,684 29,037,842 14,518,921 43,556,764 21,778,382 10,889,191 32,667,574 16,333,787 49,001,362 24,500,681 73,502,044 36,751,022 18,375,511 55,126,534 27,563,267 82,689,802 41,344,901 124,034,704 62,017,352 31,008,676 15,504,338 7,752,169 23,256,508 11,628,254 5,814,127 17,442,382 8,721,191 26,163,574 13,081,787 39,245,362 19,622,681 58,868,044 29,434,022 14,717,011 44,151,034 22,075,517 66,226,552 33,113,276 16,556,638 8,278,319 24,834,958 12,417,479 37,252,438 18,626,219

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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