787,248

2⁴ × 3² × 7 × 11 × 71

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 11 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,785,536

Proper Divisor Sum 1,998,288

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #787243 ← → #787261

Radix Representation

Decimal	787248
Binary	11000000001100110000 (20 bits)
Octal	0o3001460
Hexadecimal	0xC0330

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 71 72 77 84 88 99 112 126 132 142 144 154 168 176 198 213 231 252 264 284 308 336 396 426 462 497 504 528 568 616 639 693 781 792 852

Collatz Trajectory (237 steps to reach 1)

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

787,248 393,624 196,812 98,406 49,203 147,610 73,805 221,416 110,708 55,354 27,677 83,032 41,516 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997

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