2⁴ × 3⁵ × 7 × 23

Prime Factor Structure

Factorization String 2^4 × 3^5 × 7 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,166,528

Proper Divisor Sum 1,540,560

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #625943 ← → #625969

Radix Representation

Decimal	625968
Binary	10011000110100110000 (20 bits)
Octal	0o2306460
Hexadecimal	0x98D30

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 81 84 92 108 112 126 138 144 161 162 168 184 189 207 216 243 252 276 322 324 336 368 378 414 432 483 486 504 552 567 621 644 648 756

Collatz Trajectory (84 steps to reach 1)

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

625,968 312,984 156,492 78,246 39,123 117,370 58,685 176,056 88,028 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662

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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