λ
Ratio Atlas
Atlas › Integer Profiles › Node 63,504
63,504
24 × 34 × 72
Abundant Even Composite Square (√ = 252)

Prime Factor Structure

Factorization String 2^4 × 3^4 × 7^2
Distinct Prime Factors 3
Square Status Yes (√63504 = 252)
Abundance Measure Abundant

Analytical Properties

Total Divisors 75
Divisor Sum (σ) 213,807
Proper Divisor Sum 150,303
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #63499 ← → #63521

Radix Representation

Decimal 63504
Binary 1111100000010000 (16 bits)
Octal 0o174020
Hexadecimal 0xF810

Divisor Catalog (60 of 75)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1,008 1,134 1,176 1,296 1,323 1,512 1,764 2,268

Collatz Trajectory (148 steps to reach 1)

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

63,504 31,752 15,876 7,938 3,969 11,908 5,954 2,977 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412

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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