2⁶ × 5 × 977

Prime Factor Structure

Factorization String 2^6 × 5 × 977

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 745,236

Proper Divisor Sum 432,596

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #312623 ← → #312643

Radix Representation

Decimal	312640
Binary	1001100010101000000 (19 bits)
Octal	0o1142500
Hexadecimal	0x4C540

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 977 1,954 3,908 4,885 7,816 9,770 15,632 19,540 31,264 39,080 62,528 78,160 156,320 312,640

Collatz Trajectory (47 steps to reach 1)

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

312,640 156,320 78,160 39,080 19,540 9,770 4,885 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 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 #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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