2⁹ × 5 × 13² × 17

Prime Factor Structure

Factorization String 2^9 × 5 × 13^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 20,218,572

Proper Divisor Sum 12,863,692

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7354877 ← → #7354883

Radix Representation

Decimal	7354880
Binary	11100000011101000000000 (23 bits)
Octal	0o34035000
Hexadecimal	0x703A00

Divisor Catalog (60 of 120)

1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 169 170 208 221 256 260 272 320 338 340 416 442 512 520 544 640 676 680 832 845 884 1,040 1,088 1,105 1,280 1,352 1,360 1,664 1,690 1,768 2,080 2,176 2,210 2,560 2,704

Collatz Trajectory (160 steps to reach 1)

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

7,354,880 3,677,440 1,838,720 919,360 459,680 229,840 114,920 57,460 28,730 14,365 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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