λ
Ratio Atlas
Atlas › Integer Profiles › Node 55,464,384
55,464,384
26 × 3 × 288877
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 288877
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 146,750,024
Proper Divisor Sum 91,285,640
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #55464377 ← → #55464391

Radix Representation

Decimal 55464384
Binary 11010011100101000111000000 (26 bits)
Octal 0o323450700
Hexadecimal 0x34E51C0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 288,877 577,754 866,631 1,155,508 1,733,262 2,311,016 3,466,524 4,622,032 6,933,048 9,244,064 13,866,096 18,488,128 27,732,192 55,464,384

Collatz Trajectory (186 steps to reach 1)

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

55,464,384 27,732,192 13,866,096 6,933,048 3,466,524 1,733,262 866,631 2,599,894 1,299,947 3,899,842 1,949,921 5,849,764 2,924,882 1,462,441 4,387,324 2,193,662 1,096,831 3,290,494 1,645,247 4,935,742 2,467,871 7,403,614 3,701,807 11,105,422 5,552,711 16,658,134 8,329,067 24,987,202 12,493,601 37,480,804 18,740,402 9,370,201 28,110,604 14,055,302 7,027,651 21,082,954 10,541,477 31,624,432 15,812,216 7,906,108 3,953,054 1,976,527 5,929,582 2,964,791 8,894,374 4,447,187 13,341,562 6,670,781 20,012,344 10,006,172 5,003,086 2,501,543 7,504,630 3,752,315 11,256,946 5,628,473 16,885,420 8,442,710 4,221,355 12,664,066

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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