2⁶ × 3³ × 29 × 79

Prime Factor Structure

Factorization String 2^6 × 3^3 × 29 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 12,192,000

Proper Divisor Sum 8,233,152

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3958847 ← → #3958879

Radix Representation

Decimal	3958848
Binary	1111000110100001000000 (22 bits)
Octal	0o17064100
Hexadecimal	0x3C6840

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 79 87 96 108 116 144 158 174 192 216 232 237 261 288 316 348 432 464 474 522 576 632 696 711 783 864 928 948 1,044 1,264 1,392 1,422 1,566 1,728 1,856 1,896 2,088 2,133 2,291 2,528

Collatz Trajectory (123 steps to reach 1)

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

3,958,848 1,979,424 989,712 494,856 247,428 123,714 61,857 185,572 92,786 46,393 139,180 69,590 34,795 104,386 52,193 156,580 78,290 39,145 117,436 58,718 29,359 88,078 44,039 132,118 66,059 198,178 99,089 297,268 148,634 74,317 222,952 111,476 55,738 27,869 83,608 41,804 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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