λ
Ratio Atlas
Atlas › Integer Profiles › Node 55,464,400
55,464,400
24 × 52 × 138661
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 138661
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 133,254,182
Proper Divisor Sum 77,789,782
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #55464391 ← → #55464427

Radix Representation

Decimal 55464400
Binary 11010011100101000111010000 (26 bits)
Octal 0o323450720
Hexadecimal 0x34E51D0

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 138,661 277,322 554,644 693,305 1,109,288 1,386,610 2,218,576 2,773,220 3,466,525 5,546,440 6,933,050 11,092,880 13,866,100 27,732,200 55,464,400

Collatz Trajectory (186 steps to reach 1)

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

55,464,400 27,732,200 13,866,100 6,933,050 3,466,525 10,399,576 5,199,788 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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