λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,960,435
36,960,435
33 × 5 × 43 × 6367
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 43 × 6367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,246,080
Proper Divisor Sum 30,285,645
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36960419 ← → #36960437

Radix Representation

Decimal 36960435
Binary 10001100111111100010110011 (26 bits)
Octal 0o214774263
Hexadecimal 0x233F8B3

Divisor Catalog (32)

1 3 5 9 15 27 43 45 129 135 215 387 645 1,161 1,935 5,805 6,367 19,101 31,835 57,303 95,505 171,909 273,781 286,515 821,343 859,545 1,368,905 2,464,029 4,106,715 7,392,087 12,320,145 36,960,435

Collatz Trajectory (188 steps to reach 1)

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

36,960,435 110,881,306 55,440,653 166,321,960 83,160,980 41,580,490 20,790,245 62,370,736 31,185,368 15,592,684 7,796,342 3,898,171 11,694,514 5,847,257 17,541,772 8,770,886 4,385,443 13,156,330 6,578,165 19,734,496 9,867,248 4,933,624 2,466,812 1,233,406 616,703 1,850,110 925,055 2,775,166 1,387,583 4,162,750 2,081,375 6,244,126 3,122,063 9,366,190 4,683,095 14,049,286 7,024,643 21,073,930 10,536,965 31,610,896 15,805,448 7,902,724 3,951,362 1,975,681 5,927,044 2,963,522 1,481,761 4,445,284 2,222,642 1,111,321 3,333,964 1,666,982 833,491 2,500,474 1,250,237 3,750,712 1,875,356 937,678 468,839 1,406,518

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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