2⁷ × 3⁴ × 31

Prime Factor Structure

Factorization String 2^7 × 3^4 × 31

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 987,360

Proper Divisor Sum 665,952

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #321403 ← → #321413

Radix Representation

Decimal	321408
Binary	1001110011110000000 (19 bits)
Octal	0o1163600
Hexadecimal	0x4E780

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 496 558 576 648 744 837 864 992 1,116 1,152 1,296 1,488 1,674 1,728 1,984 2,232 2,511 2,592 2,976 3,348 3,456 3,968

Collatz Trajectory (96 steps to reach 1)

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

321,408 160,704 80,352 40,176 20,088 10,044 5,022 2,511 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 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

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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