4,096,512

2⁹ × 3² × 7 × 127

Prime Factor Structure

Factorization String 2^9 × 3^2 × 7 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 13,618,176

Proper Divisor Sum 9,521,664

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4096493 ← → #4096513

Radix Representation

Decimal	4096512
Binary	1111101000001000000000 (22 bits)
Octal	0o17501000
Hexadecimal	0x3E8200

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 127 128 144 168 192 224 252 254 256 288 336 381 384 448 504 508 512 576 672 762 768 889 896 1,008 1,016 1,143 1,152 1,344 1,524 1,536 1,778 1,792 2,016

Collatz Trajectory (61 steps to reach 1)

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

4,096,512 2,048,256 1,024,128 512,064 256,032 128,016 64,008 32,004 16,002 8,001 24,004 12,002 6,001 18,004 9,002 4,501 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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