2⁴ × 5 × 7 × 83

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 124,992

Proper Divisor Sum 78,512

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #46477 ← → #46489

Radix Representation

Decimal	46480
Binary	1011010110010000 (16 bits)
Octal	0o132620
Hexadecimal	0xB590

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1,162 1,328 1,660 2,324 2,905 3,320 4,648 5,810 6,640 9,296 11,620 23,240 46,480

Collatz Trajectory (52 steps to reach 1)

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

46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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