8,091,216

2⁴ × 3² × 7 × 23 × 349

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 23 × 349

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 27,081,600

Proper Divisor Sum 18,990,384

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8091173 ← → #8091221

Radix Representation

Decimal	8091216
Binary	11110110111011001010000 (23 bits)
Octal	0o36673120
Hexadecimal	0x7B7650

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 349 368 414 483 504 552 644 698 828 966 1,008 1,047 1,104 1,288 1,396 1,449 1,656 1,932 2,094 2,443 2,576 2,792

Collatz Trajectory (199 steps to reach 1)

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

8,091,216 4,045,608 2,022,804 1,011,402 505,701 1,517,104 758,552 379,276 189,638 94,819 284,458 142,229 426,688 213,344 106,672 53,336 26,668 13,334 6,667 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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