2⁶ × 7² × 11 × 13

Prime Factor Structure

Factorization String 2^6 × 7^2 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,216,152

Proper Divisor Sum 767,704

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #448421 ← → #448451

Radix Representation

Decimal	448448
Binary	1101101011111000000 (19 bits)
Octal	0o1553700
Hexadecimal	0x6D7C0

Divisor Catalog (60 of 84)

1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 64 77 88 91 98 104 112 143 154 176 182 196 208 224 286 308 352 364 392 416 448 539 572 616 637 704 728 784 832 1,001 1,078 1,144 1,232 1,274 1,456 1,568 2,002 2,156 2,288 2,464 2,548 2,912 3,136

Collatz Trajectory (94 steps to reach 1)

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

448,448 224,224 112,112 56,056 28,028 14,014 7,007 21,022 10,511 31,534 15,767 47,302 23,651 70,954 35,477 106,432 53,216 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848

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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