λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,503,294
40,503,294
2 × 33 × 13 × 57697
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 57697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 96,932,640
Proper Divisor Sum 56,429,346
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40503293 ← → #40503313

Radix Representation

Decimal 40503294
Binary 10011010100000011111111110 (26 bits)
Octal 0o232403776
Hexadecimal 0x26A07FE

Divisor Catalog (32)

1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 57,697 115,394 173,091 346,182 519,273 750,061 1,038,546 1,500,122 1,557,819 2,250,183 3,115,638 4,500,366 6,750,549 13,501,098 20,251,647 40,503,294

Collatz Trajectory (253 steps to reach 1)

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

40,503,294 20,251,647 60,754,942 30,377,471 91,132,414 45,566,207 136,698,622 68,349,311 205,047,934 102,523,967 307,571,902 153,785,951 461,357,854 230,678,927 692,036,782 346,018,391 1,038,055,174 519,027,587 1,557,082,762 778,541,381 2,335,624,144 1,167,812,072 583,906,036 291,953,018 145,976,509 437,929,528 218,964,764 109,482,382 54,741,191 164,223,574 82,111,787 246,335,362 123,167,681 369,503,044 184,751,522 92,375,761 277,127,284 138,563,642 69,281,821 207,845,464 103,922,732 51,961,366 25,980,683 77,942,050 38,971,025 116,913,076 58,456,538 29,228,269 87,684,808 43,842,404 21,921,202 10,960,601 32,881,804 16,440,902 8,220,451 24,661,354 12,330,677 36,992,032 18,496,016 9,248,008

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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