2⁹ × 3 × 41

Prime Factor Structure

Factorization String 2^9 × 3 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 171,864

Proper Divisor Sum 108,888

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #62971 ← → #62981

Radix Representation

Decimal	62976
Binary	1111011000000000 (16 bits)
Octal	0o173000
Hexadecimal	0xF600

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1,312 1,536 1,968 2,624 3,936 5,248 7,872 10,496 15,744 20,992 31,488 62,976

Collatz Trajectory (55 steps to reach 1)

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

62,976 31,488 15,744 7,872 3,936 1,968 984 492 246 123 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 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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