λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,578,432
2,578,432
211 × 1259
Abundant Even Composite

Prime Factor Structure

Factorization String 2^11 × 1259
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,159,700
Proper Divisor Sum 2,581,268
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2578423 ← → #2578451

Radix Representation

Decimal 2578432
Binary 1001110101100000000000 (22 bits)
Octal 0o11654000
Hexadecimal 0x275800

Divisor Catalog (24)

1 2 4 8 16 32 64 128 256 512 1,024 1,259 2,048 2,518 5,036 10,072 20,144 40,288 80,576 161,152 322,304 644,608 1,289,216 2,578,432

Collatz Trajectory (94 steps to reach 1)

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

2,578,432 1,289,216 644,608 322,304 161,152 80,576 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752

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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