2⁷ × 3 × 7² × 53

Prime Factor Structure

Factorization String 2^7 × 3 × 7^2 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,139,560

Proper Divisor Sum 2,142,312

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #997247 ← → #997259

Radix Representation

Decimal	997248
Binary	11110011011110000000 (20 bits)
Octal	0o3633600
Hexadecimal	0xF3780

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 64 84 96 98 106 112 128 147 159 168 192 196 212 224 294 318 336 371 384 392 424 448 588 636 672 742 784 848 896 1,113 1,176 1,272 1,344 1,484 1,568 1,696 2,226 2,352 2,544 2,597 2,688

Collatz Trajectory (77 steps to reach 1)

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

997,248 498,624 249,312 124,656 62,328 31,164 15,582 7,791 23,374 11,687 35,062 17,531 52,594 26,297 78,892 39,446 19,723 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176

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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