2⁵ × 3 × 11 × 19 × 23

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 19 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,451,520

Proper Divisor Sum 990,048

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #461467 ← → #461479

Radix Representation

Decimal	461472
Binary	1110000101010100000 (19 bits)
Octal	0o1605240
Hexadecimal	0x70AA0

Divisor Catalog (60 of 96)

1 2 3 4 6 8 11 12 16 19 22 23 24 32 33 38 44 46 48 57 66 69 76 88 92 96 114 132 138 152 176 184 209 228 253 264 276 304 352 368 418 437 456 506 528 552 608 627 736 759 836 874 912 1,012 1,056 1,104 1,254 1,311 1,518 1,672

Collatz Trajectory (63 steps to reach 1)

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

461,472 230,736 115,368 57,684 28,842 14,421 43,264 21,632 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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