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3,360,784

24 × 7 × 37 × 811
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 37 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,652,288
Proper Divisor Sum 4,291,504
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3360779 ← → #3360793

Radix Representation

Decimal 3360784
Binary 1100110100100000010000 (22 bits)
Octal 0o14644020
Hexadecimal 0x334810

Divisor Catalog (40)

1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 811 1,036 1,622 2,072 3,244 4,144 5,677 6,488 11,354 12,976 22,708 30,007 45,416 60,014 90,832 120,028 210,049 240,056 420,098 480,112 840,196 1,680,392 3,360,784

Collatz Trajectory (208 steps to reach 1)

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

3,360,784 1,680,392 840,196 420,098 210,049 630,148 315,074 157,537 472,612 236,306 118,153 354,460 177,230 88,615 265,846 132,923 398,770 199,385 598,156 299,078 149,539 448,618 224,309 672,928 336,464 168,232 84,116 42,058 21,029 63,088 31,544 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939

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