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765,224

23 × 41 × 2333
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 41 × 2333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,470,420
Proper Divisor Sum 705,196
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #765211 ← → #765227

Radix Representation

Decimal 765224
Binary 10111010110100101000 (20 bits)
Octal 0o2726450
Hexadecimal 0xBAD28

Divisor Catalog (16)

1 2 4 8 41 82 164 328 2,333 4,666 9,332 18,664 95,653 191,306 382,612 765,224

Collatz Trajectory (149 steps to reach 1)

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

765,224 382,612 191,306 95,653 286,960 143,480 71,740 35,870 17,935 53,806 26,903 80,710 40,355 121,066 60,533 181,600 90,800 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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