λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,920,748
40,920,748
22 × 112 × 59 × 1433
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11^2 × 59 × 1433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 80,103,240
Proper Divisor Sum 39,182,492
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40920739 ← → #40920757

Radix Representation

Decimal 40920748
Binary 10011100000110011010101100 (26 bits)
Octal 0o234063254
Hexadecimal 0x27066AC

Divisor Catalog (36)

1 2 4 11 22 44 59 118 121 236 242 484 649 1,298 1,433 2,596 2,866 5,732 7,139 14,278 15,763 28,556 31,526 63,052 84,547 169,094 173,393 338,188 346,786 693,572 930,017 1,860,034 3,720,068 10,230,187 20,460,374 40,920,748

Collatz Trajectory (253 steps to reach 1)

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

40,920,748 20,460,374 10,230,187 30,690,562 15,345,281 46,035,844 23,017,922 11,508,961 34,526,884 17,263,442 8,631,721 25,895,164 12,947,582 6,473,791 19,421,374 9,710,687 29,132,062 14,566,031 43,698,094 21,849,047 65,547,142 32,773,571 98,320,714 49,160,357 147,481,072 73,740,536 36,870,268 18,435,134 9,217,567 27,652,702 13,826,351 41,479,054 20,739,527 62,218,582 31,109,291 93,327,874 46,663,937 139,991,812 69,995,906 34,997,953 104,993,860 52,496,930 26,248,465 78,745,396 39,372,698 19,686,349 59,059,048 29,529,524 14,764,762 7,382,381 22,147,144 11,073,572 5,536,786 2,768,393 8,305,180 4,152,590 2,076,295 6,228,886 3,114,443 9,343,330

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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