λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,959,632
40,959,632
24 × 7 × 257 × 1423
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 257 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 91,113,216
Proper Divisor Sum 50,153,584
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #40959631 ← → #40959671

Radix Representation

Decimal 40959632
Binary 10011100001111111010010000 (26 bits)
Octal 0o234177220
Hexadecimal 0x270FE90

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 257 514 1,028 1,423 1,799 2,056 2,846 3,598 4,112 5,692 7,196 9,961 11,384 14,392 19,922 22,768 28,784 39,844 79,688 159,376 365,711 731,422 1,462,844 2,559,977 2,925,688 5,119,954 5,851,376 10,239,908 20,479,816 40,959,632

Collatz Trajectory (359 steps to reach 1)

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

40,959,632 20,479,816 10,239,908 5,119,954 2,559,977 7,679,932 3,839,966 1,919,983 5,759,950 2,879,975 8,639,926 4,319,963 12,959,890 6,479,945 19,439,836 9,719,918 4,859,959 14,579,878 7,289,939 21,869,818 10,934,909 32,804,728 16,402,364 8,201,182 4,100,591 12,301,774 6,150,887 18,452,662 9,226,331 27,678,994 13,839,497 41,518,492 20,759,246 10,379,623 31,138,870 15,569,435 46,708,306 23,354,153 70,062,460 35,031,230 17,515,615 52,546,846 26,273,423 78,820,270 39,410,135 118,230,406 59,115,203 177,345,610 88,672,805 266,018,416 133,009,208 66,504,604 33,252,302 16,626,151 49,878,454 24,939,227 74,817,682 37,408,841 112,226,524 56,113,262

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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