λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,257,528
40,257,528
23 × 3 × 53 × 31649
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 53 × 31649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 102,546,000
Proper Divisor Sum 62,288,472
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #40257527 ← → #40257557

Radix Representation

Decimal 40257528
Binary 10011001100100011111111000 (26 bits)
Octal 0o231443770
Hexadecimal 0x26647F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1,272 31,649 63,298 94,947 126,596 189,894 253,192 379,788 759,576 1,677,397 3,354,794 5,032,191 6,709,588 10,064,382 13,419,176 20,128,764 40,257,528

Collatz Trajectory (178 steps to reach 1)

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

40,257,528 20,128,764 10,064,382 5,032,191 15,096,574 7,548,287 22,644,862 11,322,431 33,967,294 16,983,647 50,950,942 25,475,471 76,426,414 38,213,207 114,639,622 57,319,811 171,959,434 85,979,717 257,939,152 128,969,576 64,484,788 32,242,394 16,121,197 48,363,592 24,181,796 12,090,898 6,045,449 18,136,348 9,068,174 4,534,087 13,602,262 6,801,131 20,403,394 10,201,697 30,605,092 15,302,546 7,651,273 22,953,820 11,476,910 5,738,455 17,215,366 8,607,683 25,823,050 12,911,525 38,734,576 19,367,288 9,683,644 4,841,822 2,420,911 7,262,734 3,631,367 10,894,102 5,447,051 16,341,154 8,170,577 24,511,732 12,255,866 6,127,933 18,383,800 9,191,900

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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