λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,802,464
12,802,464
25 × 32 × 44453
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 44453
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 36,407,826
Proper Divisor Sum 23,605,362
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12802463 ← → #12802483

Radix Representation

Decimal 12802464
Binary 110000110101100110100000 (24 bits)
Octal 0o60654640
Hexadecimal 0xC359A0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44,453 88,906 133,359 177,812 266,718 355,624 400,077 533,436 711,248 800,154 1,066,872 1,422,496 1,600,308 2,133,744 3,200,616 4,267,488 6,401,232 12,802,464

Collatz Trajectory (73 steps to reach 1)

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

12,802,464 6,401,232 3,200,616 1,600,308 800,154 400,077 1,200,232 600,116 300,058 150,029 450,088 225,044 112,522 56,261 168,784 84,392 42,196 21,098 10,549 31,648 15,824 7,912 3,956 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11

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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