2⁶ × 3² × 7 × 101

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,347,216

Proper Divisor Sum 939,984

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #407221 ← → #407233

Radix Representation

Decimal	407232
Binary	1100011011011000000 (19 bits)
Octal	0o1433300
Hexadecimal	0x636C0

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 101 112 126 144 168 192 202 224 252 288 303 336 404 448 504 576 606 672 707 808 909 1,008 1,212 1,344 1,414 1,616 1,818 2,016 2,121 2,424 2,828 3,232 3,636 4,032 4,242

Collatz Trajectory (86 steps to reach 1)

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

407,232 203,616 101,808 50,904 25,452 12,726 6,363 19,090 9,545 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433

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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