2² × 3² × 877

Prime Factor Structure

Factorization String 2^2 × 3^2 × 877

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 79,898

Proper Divisor Sum 48,326

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #31567 ← → #31573

Radix Representation

Decimal	31572
Binary	111101101010100 (15 bits)
Octal	0o75524
Hexadecimal	0x7B54

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 877 1,754 2,631 3,508 5,262 7,893 10,524 15,786 31,572

Collatz Trajectory (54 steps to reach 1)

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

31,572 15,786 7,893 23,680 11,840 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 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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