2⁴ × 3² × 7³ × 79

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7^3 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 12,896,000

Proper Divisor Sum 8,994,032

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3901967 ← → #3901981

Radix Representation

Decimal	3901968
Binary	1110111000101000010000 (22 bits)
Octal	0o16705020
Hexadecimal	0x3B8A10

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 79 84 98 112 126 144 147 158 168 196 237 252 294 316 336 343 392 441 474 504 553 588 632 686 711 784 882 948 1,008 1,029 1,106 1,176 1,264 1,372 1,422 1,659 1,764 1,896

Collatz Trajectory (185 steps to reach 1)

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

3,901,968 1,950,984 975,492 487,746 243,873 731,620 365,810 182,905 548,716 274,358 137,179 411,538 205,769 617,308 308,654 154,327 462,982 231,491 694,474 347,237 1,041,712 520,856 260,428 130,214 65,107 195,322 97,661 292,984 146,492 73,246 36,623 109,870 54,935 164,806 82,403 247,210 123,605 370,816 185,408 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130

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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