2⁴ × 3² × 7 × 31

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 103,168

Proper Divisor Sum 71,920

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #31247 ← → #31249

Radix Representation

Decimal	31248
Binary	111101000010000 (15 bits)
Octal	0o75020
Hexadecimal	0x7A10

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1,008 1,116 1,302 1,488 1,736 1,953 2,232 2,604 3,472 3,906 4,464 5,208 7,812 10,416 15,624 31,248

Collatz Trajectory (41 steps to reach 1)

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

31,248 15,624 7,812 3,906 1,953 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 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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