2⁷ × 3 × 13 × 43

Prime Factor Structure

Factorization String 2^7 × 3 × 13 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 628,320

Proper Divisor Sum 413,664

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #214651 ← → #214657

Radix Representation

Decimal	214656
Binary	110100011010000000 (18 bits)
Octal	0o643200
Hexadecimal	0x34680

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 258 312 344 384 416 516 559 624 688 832 1,032 1,118 1,248 1,376 1,664 1,677 2,064 2,236 2,496 2,752 3,354 4,128 4,472 4,992 5,504 6,708 8,256 8,944 13,416 16,512 17,888 26,832 35,776

Collatz Trajectory (49 steps to reach 1)

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

214,656 107,328 53,664 26,832 13,416 6,708 3,354 1,677 5,032 2,516 1,258 629 1,888 944 472 236 118 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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