2⁸ × 3² × 31

Prime Factor Structure

Factorization String 2^8 × 3^2 × 31

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 212,576

Proper Divisor Sum 141,152

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #71419 ← → #71429

Radix Representation

Decimal	71424
Binary	10001011100000000 (17 bits)
Octal	0o213400
Hexadecimal	0x11700

Divisor Catalog (54)

1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1,116 1,152 1,488 1,984 2,232 2,304 2,976 3,968 4,464 5,952 7,936 8,928 11,904 17,856 23,808 35,712 71,424

Collatz Trajectory (50 steps to reach 1)

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

71,424 35,712 17,856 8,928 4,464 2,232 1,116 558 279 838 419 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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