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2,435,643

33 × 73 × 263
Deficient Odd Composite

2,435,643 factors as 3^3 × 7^3 × 263. Its 32 positive divisors give a proper-divisor sum of 1,788,357, so this integer is deficient. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 3^3 × 7^3 × 263
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,224,000
Proper Divisor Sum 1,788,357
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2435633 ← → #2435689

Radix Representation

Decimal 2435643
Binary 1001010010101000111011 (22 bits)
Octal 0o11225073
Hexadecimal 0x252A3B

Divisor Catalog (32)

1 3 7 9 21 27 49 63 147 189 263 343 441 789 1,029 1,323 1,841 2,367 3,087 5,523 7,101 9,261 12,887 16,569 38,661 49,707 90,209 115,983 270,627 347,949 811,881 2,435,643

Collatz Trajectory (60 steps to reach 1)

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

2,435,643 7,306,930 3,653,465 10,960,396 5,480,198 2,740,099 8,220,298 4,110,149 12,330,448 6,165,224 3,082,612 1,541,306 770,653 2,311,960 1,155,980 577,990 288,995 866,986 433,493 1,300,480 650,240 325,120 162,560 81,280 40,640 20,320 10,160 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2

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